The purpose of this study is to characterize the effect of repeat-dose administration of brigatinib 180 milligram (mg) once daily (QD) on the single-dose pharmacokinetics (PK) of midazolam.

The study will enroll approximately 20 participants to achieve approximately 15 PK-evaluable participants for assessment. This study will consist of 2 parts: Part A of the study will evaluate the effect of repeat-dose administration of brigatinib on the single-dose PK of midazolam. Part B of the study is exploratory and will allow participants to continue brigatinib until disease progression (PD). All participants will receive study drug via the oral route. Participants will be assigned to: Midazolam 3 mg + Brigatinib 90 mg.

The overall time to participate in this study is 26 months. Participants will have a 28-day PK cycle in Part A and a maximum of 23 cycles in Part B, and a 30-day follow-up period after end of treatment.

Inclusion Criteria:

1. Locally advanced or metastatic solid tumors who meet 1 of the following 4 criteria:

   • With locally advanced or metastatic ALK-positive NSCLC who have progressed on or are intolerant to treatment with at least 1 other ALK inhibitor.
   • With ALK-positive nonlung solid tumors that are locally advanced or metastatic and for whom no standard, nonexperimental therapy is available.
   • With locally advanced or metastatic ROS1-positive NSCLC who have progressed on crizotinib therapy or are intolerant to crizotinib, or
   • With ROS1-positive nonlung solid tumors that are locally advanced or metastatic and for whom no standard, nonexperimental therapy is available.

2. Eastern cooperative Oncology Group (ECOG) performance status of 0 or 1.

3. Have at least 1 target lesion per response evaluation criteria in solid tumors (RECIST) version 1.1.

4. Have recovered from toxicities related to prior anticancer therapy to National Cancer Institute common terminology criteria for adverse events (NCI CTCAE) version 4.03 Grade less than or equal to (<=) 1.

5. Suitable venous access for study-required blood sampling (that is, including PK and laboratory safety tests).

Exclusion Criteria:

1. Systemic treatment with strong or moderate cytochrome P450 3A (CYP3A) inhibitors or inducers within 14 days before enrollment.
2. Prior therapy with brigatinib.
3. Received prior ALK-inhibitor therapy within 7 days before the first dose of study drug.
4. Treatment with any investigational systemic anticancer agents within 14 days or 5 half-lives, whichever is longer, before the first dose of study drug.
5. Received chemotherapy or radiation therapy within 14 days before the first dose of study drug, except for stereotactic radiosurgery (SRS) or stereotactic body radiation therapy.
6. Received antineoplastic monoclonal antibodies within 30 days before the first dose of study drug.
7. Had major surgery within 30 days before the first dose of study drug. Minor surgical procedures, such as catheter placement or minimally invasive biopsies, are allowed.
8. Have current spinal cord compression (symptomatic or asymptomatic and detected by radiographic imaging). Patients with leptomeningeal disease and without cord compression are allowed.

Takeda provides access to the de-identified individual participant data (IPD) for eligible studies to aid qualified researchers in addressing legitimate scientific objectives (Takeda's data sharing commitment is available on https://clinicaltrials.takeda.com/takedas-commitment?commitment=5). These IPDs will be provided in a secure research environment following approval of a data sharing request, and under the terms of a data sharing agreement.

IPD from eligible studies will be shared with qualified researchers according to the criteria and process described on https://vivli.org/ourmember/takeda/ For approved requests, the researchers will be provided access to anonymized data (to respect patient privacy in line with applicable laws and regulations) and with information necessary to address the research objectives under the terms of a data sharing agreement.