Highest Dose of Uproleselan in Combination With Fludarabine and Cytarabine for Patients With Acute Myeloid Leukemia, Myelodysplastic Syndrome, or Mixed Phenotype Acute Leukemia Relapsed or Refractory That Expresses E-selectin Ligand on the Cell Membrane

Inclusion Criteria: * Patient must be enrolled on APAL2020SC (NCT04726241)-Pediatric Acute Leukemia (PedAL) Screening Trial - Developing New Therapies for Relapsed Leukemias - A Leukemia \& Lymphoma Society and COG Groupwide Screening Protocol * Patients must be \>= 1 year and \<18 years of age at the time of study enrollment * Patients, with or without Down syndrome (DS), and with de novo acute myeloid leukemia, therapy-related acute myeloid leukemia, myelodysplastic syndrome with increased blasts (MDS-IB), therapy-related myelodysplastic syndrome with increased blasts (MDS-IB) or mixed phenotype acute leukemia that expresses E-selectin ligand on the cell membrane according to APAL2020SC screening results and meet one of the following: * Second or greater relapse or refractory AML as defined below, including isolated extramedullary disease (EMD), but excluding isolated central nervous system (CNS) or isolated testicular disease. * Second or greater relapse or refractory myelodysplastic syndrome (MDS) with increased blasts (MDS-IB). * Second or greater relapse or refractory mixed phenotype acute leukemia (MPAL) * Note: Documentation of E-selectin expression by multidimensional flow cytometry (MDF) at the central laboratory (Hematologics, Inc.) on the most recent bone marrow sample prior to the diagnosis of the current relapsed or refractory disease is acceptable for eligibility to this study in the event of isolated extramedullary disease, inability to obtain a bone marrow aspirate or lack of leukemic blasts in the peripheral blood * Bone marrow relapse and MDF - MRD relapse: (patients must meet one of the following criteria to be defined as having relapse disease) * A single bone marrow sample showing \>= 1% leukemic blasts by multidimensional flow cytometry performed at the central laboratory (performed only at Hematalogics through the screening study APAL2020SC). * In cases where a bone marrow aspirate cannot be obtained because of extensive fibrosis, blast count can be obtained from touch imprints or estimated from an adequate bone marrow core biopsy. A complete blood count documenting the presence of at least 1,000/ uL (i.e., a white blood count \[WBC\] count \>= 10,000/uL with \>= 10% blasts or a WBC count of \>= 5,000/uL with \>= 20% blasts) circulating leukemic cells (blasts) can also be used if a bone marrow aspirate or biopsy cannot be performed * Extramedullary relapse: Biopsy proven extramedullary disease after documented complete remission * Refractory disease and MDF - MRD refractory: Following a re-induction cycle after any relapse, presence of \>= 1% leukemic blasts by multidimensional flow cytometry performed at the central laboratory (performed only at Hematologics through the screening study APAL2020SC), OR there is persistent extramedullary disease. In cases where a bone marrow aspirate cannot be obtained because of extensive fibrosis, assessment of refractory disease will be defined as described * Patient's current disease state must be one for which there is no known curative therapy or therapy proven to prolong survival with an acceptable quality of life * Karnofsky \>= 50 for patients \> 16 years of age and Lansky \>= 50 for patients =\< 16 years of age. Patients must have a performance status corresponding to Eastern Cooperative Oncology Group (ECOG) scores of 0, 1 or 2. Use Karnofsky for patients \> 16 years of age and Lansky for patients =\< 16 years of age * Patients must have fully recovered (grade \<2) from the acute toxic effects of all prior anti-cancer therapy and must meet the following minimum duration from prior anti-cancer directed therapy prior to enrollment. If after the required timeframe, the numerical eligibility criteria are met, eg, blood count criteria, the patient is considered to have recovered adequately * Cytotoxic chemotherapy or other anti-cancer agents known to be myelosuppressive: * \>= 14 days must have elapsed after the completion of other cytotoxic therapy, with the exception of hydroxyurea * NOTE: Cytoreduction with hydroxyurea must be discontinued \>= 24 hours prior to the start of protocol therapy * Anti-cancer agents not known to be myelosuppressive (e.g., not associated with reduced platelet or absolute neutrophil count \[ANC\] counts): \>= 7 days after the last dose of agent * Antibodies: \>= 21 days must have elapsed from infusion of last dose of antibody, and toxicity related to prior antibody therapy must be recovered to grade =\< 1 * Corticosteroids: If used to modify immune adverse events related to prior therapy, \>= 14 days must have elapsed since last dose of corticosteroid * Hematopoietic growth factors: \>= 14 days after the last dose of a long-acting growth factor (e.g., pegfilgrastim) or 7 days for short acting growth factor. For agents that have known adverse events occurring beyond 7 days after administration, this period must be extended beyond the time during which adverse events are known to occur * Interleukins, interferons and cytokines (other than hematopoietic growth factors): \>= 21 days after the completion of interleukins, interferon or cytokines (other than hematopoietic growth factors) * Stem cell Infusions (with or without total-body irradiation \[TBI\]): * Allogeneic (non-autologous) bone marrow or stem cell transplant, or any stem cell infusion including donor lymphocyte infusion (DLI) or boost infusion: \>= 84 days after infusion and no evidence of graft versus host disease (GVHD) * Patients must be off calcineurin inhibitors for at least 28 days prior to the start of protocol therapy. Patients may be on physiological doses of steroids (equivalent to =\<10 mg prednisone daily for patients \>=18 years or =\<10mg/m2/day for patients \<18years) * Autologous stem cell infusion including boost infusion: \>= 30 days * Cellular Therapy: \>= 30 days after the completion of any type of cellular therapy (eg, modified T cells, natural killer \[NK\] cells, dendritic cells, etc.) * External beam radiation therapy (XRT)/External Beam Irradiation including protons: \>= 14 days after local XRT; \>= 150 days after TBI, craniospinal XRT or if radiation to \>= 50% of the pelvis; \>= 42 days if other substantial bone marrow (BM) radiation * Patients must not have received prior exposure to uproleselan (GMI-1271). NOTE: Prior therapy with fludarabine and/or cytarabine is permitted * For patients with leukemia: * Platelet count \>= 25,000/uL (may receive platelet transfusions) * Estimated glomerular filtration rate (eGFR) \>= 70 mL/min/1.73 m\^2 * "Bedside" Schwartz formula (2009): eGFR = 0.413 x (height \[cm\] /serum creatinine \[mg/dL\]) OR * Measured GFR \>= 70 mL/min/1.73 m\^2. If measured GFR is used, it must be performed using direct measurement with a nuclear blood sampling method or small molecule clearance method (iothalamate or other molecule per institutional standard). * Bilirubin (sum of conjugated + unconjugated) =\< 1.5 x upper limit of normal (ULN) for age * Serum glutamate pyruvate transaminase (SGPT) (alanine aminotransferase \[ALT\]) \< 3x ULN (unless attributed to leukemic involvement) * Albumin \>= 2 g/dL * Shortening fraction of \>= 27% by echocardiogram, or ejection fraction of \>= 50% by gated radionuclide study Exclusion Criteria: * Patients with any of the following diagnoses * Patients with isolated relapsed or refractory central nervous system (CNS) disease or isolated relapsed or refractory testicular disease * Patients with acute promyelocytic leukemia (APL) * Patients with juvenile myelomonocytic leukemia (JMML) * Patients with a known congenital bone marrow failure syndrome * Pregnant or breast-feeding women will not be entered on this study due to risks of fetal and teratogenic adverse events as seen in animal/human studies, OR because there is yet no available information regarding human fetal or teratogenic toxicities. Pregnancy tests must be obtained in girls who are post-menarchal. Males or females of reproductive potential may not participate unless they have agreed to use two effective methods of birth control, including a medically accepted barrier or contraceptive method (e.g., male or female condom) for the duration of the study and for 3 months after the last dose of uproleselan (GMI-1271). Abstinence is an acceptable method of birth control * Patients receiving corticosteroids who have not been on a stable or decreasing dose of corticosteroid for at least 7 days prior to enrollment are not eligible. If used to modify immune adverse events related to prior therapy, \>= 14 days must have elapsed since last dose of corticosteroid * Patients who are currently receiving another investigational drug are not eligible * Patients who are currently receiving other anti-cancer agents are not eligible except patients receiving hydroxyurea, which may be continued until 24 hours prior to start of protocol therapy * Patients who are receiving cyclosporine, tacrolimus or other agents to prevent graft-versus-host disease post bone marrow transplant are not eligible for this trial * Patients who have an uncontrolled infection are not eligible * Patients who have received a prior solid organ transplantation are not eligible * Patients who in the opinion of the investigator may not be able to comply with the safety monitoring requirements of the study are not eligible