Trial for Local Ablative Treatment (LAT) Optimization in Patients With Advanced Non-Small Cells Lung Cancer (NSCLC) Presenting an Anaplastic Lymphoma Kinase (ALK) Rearrangement Treated by Brigatinib

The goal of this clinical trial is to learn if the treatment by systemic Brigatinib (ALUNBRIG®) associated to local ablative therapy (LAT) treatment is improved if administered when the brigatinib works best in participants presenting an advanced non-small cells lung cancer with an ALK gene anomaly (this anomaly produces a defective protein that is responsible for the multiplication of cancer cells). This clinical trial is expected to involve 45 participants in several sites in France. Advanced non-small cell lung cancer (NSCLC) participants with ALK rearrangements treated with brigatinib in first line of non-curable setting will be screened. If the disease assessment done between 3 to 9 months after initiation of brigatinib shows: * a tumor response or stabilization (according to RECIST 1.1) * a disease which meets the definition of an oligometastatic disease (five metastatic lesions or less and a maximum of two lesions per organ) * all tumor targets are accessible to a local ablative therapy (confirmed by an expert panel of clinicians before inclusion): surgery, stereotactic radiosurgery (SRS). For liver, adrenal, or other metastases, percutaneous thermal ablation will be accepted. Participants will be asked to visit the clinic: * for eligibility criteria assessment prior to LAT * for LAT * every 8 weeks for checkups and tests the first year after LAT * and then every 12 weeks, for a maximum period of 3 years. Eligible patients will benefit from local ablative therapy with continuation of brigatinib.