A Clinical Study to Evaluate the Effects of Enicepatide (RO7795068) in Participants With Obesity or Overweight and Type 2 Diabetes

Inclusion Criteria: * Ability and willingness to self-administer the study drug (or receive an injection from a trained individual if visually impaired or with physical limitations) * Diagnosis of type 2 diabetes mellitus (T2DM) according to WHO classification or other locally applicable standards with HbA1c ≥6.5% to ≤10% determined by laboratory test at screening, and on stable oral therapy for at least 3 months prior to screening (if applicable). T2DM may be treated with diet/exercise alone or any oral anti-hyperglycemic medication (as per local labeling) EXCEPT dipeptidyl peptidase 4 (DPP-4) inhibitors or GLP-1 RA-based therapy. * Body mass index (BMI) ≥27.0 kg/m\^2 * History of ≥1 self-reported unsuccessful diet/exercise effort to lose body weight Exclusion Criteria: * History of type 1 diabetes mellitus (T1DM) or any lifetime history of ketoacidosis or history of hyperosmolar state/coma within 12 months prior to screening * Have had 1 or more episodes of severe hypoglycemia and/or has hypoglycemia unawareness within the 6 months prior to screening * At least 2 confirmed fasting blood glucose values \>270 mg/dL (15.0 mmol/L) (on 2 non-consecutive days) during screening * Self-reported change in body weight \>5 kg within 3 months prior to screening * Obesity induced by other endocrinologic disorders (e.g., Cushing's syndrome) or diagnosed monogenetic or syndromic forms of obesity (e.g., melanocortin 4 receptor deficiency or Prader-Willi syndrome) * Prior or planned surgical treatment for obesity. Liposuction or abdominoplasty if performed more than 1 year prior to screening is allowed. * Known clinically significant gastric emptying abnormality (e.g., severe gastroparesis or gastric outlet obstruction) * Poorly controlled hypertension at screening * Have any of the following cardiovascular conditions within 3 months prior to screening: Acute myocardial infarction; Cerebrovascular accident (stroke)/transient ischemic attack; Unstable angina; Hospitalization due to congestive heart failure * Treatment with any approved or investigational GLP-1-RA-based therapy (e.g., GLP-1 receptor mono agonist, GLP-1/GIP receptor dual agonist, GLP-1/GIP/Gluc receptor triple agonist) within 6 months prior to randomization