The purpose of this study is to evaluate the safety and efficacy of long-term treatment with TAK-875 in diabetic patients.

Inclusion Criteria:

1. The participant is an outpatient.
2. The participant signs and dates a written, informed consent form and any required privacy authorization prior to the initiation of any study procedures.

Exclusion Criteria:

1. The participant has any serious cardiac disease, serious cerebrovascular disorder, or any serious pancreatic or hematological disease.
2. The participant is considered ineligible for the study for any other reason by the investigator or sub-investigator.