Clinical Trial in RAI-Refractory Thyroid Carcinoma Evaluating BRAF & MEK Blockade for Re-differentiation Therapy

Inclusion Criteria: 1. Participants must be at least 21 years of age on the day of signing informed consent. 2. The participant (or legally acceptable representative if applicable) provides written consent for the trial. 3. Eastern Cooperative Oncology Group (ECOG) performance status \< 2 4. . The histology of the thyroid carcinoma for inclusion includes any of the following: * Papillary thyroid carcinoma * Follicular thyroid carcinoma * Hurthle cell carcinoma * Poorly differentiated thyroid carcinoma 5. Patients with a thyroid carcinoma of follicular cell origin with mutation involving MAPK signalling pathway, including BRAFV600E mutation or RAS mutation detected in a Clinical Laboratory Improvement Amendments (CLIA)-certified or US Food and Drug Administration-approved assay. 6. The patients need to fulfil one of the following criteria for RAI-refractory disease (Tuttle et al, 2019;): 1. No 131-I uptake is present on a diagnostic 131-I scan 2. No 131-I uptake is present on a 131I scan performed several days after 131-I therapy 3. 131-I uptake is only present in some but not other tumor foci 4. DTC metastasis(es) progress despite 131-I uptake 5. DTC metastasis(es) progress despite a cumulative 131-I activity of \>600 mCi 7. The metastatic tumoral lesion should have no RAI uptake on therapeutic or diagnostic radioiodine scan performed before enrolment. Alternatively, the RAI-avid metastatic lesion should not show size reduction (either remained stable in size or progressed) despite RAI therapy \>6 months before study entry. 8. The disease should be measurable based on RECIST 1.1. Lesions situated in a previously irradiated area are considered measurable if progression has been demonstrated in such lesions. 9. Adequate haematological, renal and liver function defined as: 1. Absolute neutrophil count (ANC) ≥ 1.5 ×109/L. 2. Hemoglobin ≥ 9.0 g/dl (Note: The use of transfusion or other intervention to achieve hemoglobin ≥ 9.0 g/dl is acceptable). 3. Platelets ≥ 75 ×109/L. 4. Total bilirubin ≤2.5 x institutional upper limit of normal (unless due to Gilbert's disease). 5. Aspartate aminotransferase (AST) (serum glutamic-oxaloacetic transaminase \[SGOT\]) / alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase \[SGPT\]) ≤ 2.5 x institutional upper limit of normal. 6. Serum creatinine ≤ 1.5 x institutional upper limit of normal. 7. Prothrombin time (PT) within the normal range for the institution. 10. A female participant is eligible to participate if she is not pregnant, not breastfeeding, and at least one of the following conditions applies: 1. Not a woman of childbearing potential (WOCBP) OR 2. A WOCBP who agrees to follow the contraceptive guidance during the treatment period and for at least 4 months after the last dose of dabrafenib and trametinib. Contraception has to be continued for 6 months after radioactive iodine if this were to be administered. Barrier method of contraception is preferred as dabrafenib may decrease serum estrogen and progestin concentrations. Female patients of childbearing potential are required to have a negative serum pregnancy test within 14 days prior to the first dose of study medication. 11. A male participant must agree to use a contraception during the treatment period and for at least 4 months days after the last dose of dabrafenib and trametinib (and radioactive iodine if administered), and refrain from donating sperm during this period. Exclusion Criteria: Patients will not be recruited if they meet the following criteria: 1. Anaplastic thyroid carcinoma 2. Exceeded cumulative I-131 treatment dose of \>600mCi 3. Treatment with I-131 therapy 6 months before study treatment. 4. G6PD deficiency due to risk of haemolytic anaemia with dabrafenib 5. Had received prior systemic anti-cancer therapy, including investigational agents within 2 weeks prior to randomisation. 6. Had received prior radiotherapy within 2 weeks of start of study treatment. Participants must have recovered from all radiation-related toxicities. 7. Patients who have not recovered from adverse events related to prior therapy for cancer to Common Terminology Criteria for Adverse Events (CTCAE) 4.03 grade 2 or less, except for alopecia. 8. Patients with a history of other active malignancy requiring cancer treatment. 9. Patients with uncontrolled brain metastases. Patients who are on a stable dose of corticosteroids for more than 1 week or off corticosteroids for 2 weeks prior to study enrolment can be enrolled. 10. On concurrent prohibitive drugs such as enzyme-inducing anti-epileptic drugs. \[Refer to section 3.7 (concomitant treatment) for list of medications that require closer monitoring.\] 11. Patients with a known history of retinal vein occlusion, central serous retinopathy, uncontrolled glaucoma or ocular hypertension. 12. Patients with class II, III, or IV heart failure as defined by the New York Heart Association (NYHA) functional classification system. 13. Corrected QT (QTc) interval greater than or equal to 480 msecs (\>= 500 msec for subjects with Bundle Branch Block). 14. Patients with uncontrolled intercurrent illness including, but not limited to, ongoing or active infection requiring intravenous antibiotics, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements. 15. Pregnant women and nursing women are excluded from this study because dabrafenib has the potential for teratogenic or abortifacient effects. In embro-fetal developmental studies in rats, developmental toxicities including reduced fetal body weight, embryo-lethality, cardiac ventricular septal defect malformations, delayed skeletal development and variation in thymic shape have been observed.