A Study to Look at the Effect MEDI0382 Has on Blood Sugar in People With Type 2 Diabetes and Kidney Problems and Also to Check That MEDI0382 is Well Tolerated

Inclusion Criteria: 1. Age ≥ 18 and \< 85 years at screening. 2. Signed and dated written informed consent (with the exception of consent for genetic and nongenetic research) prior to performing any protocol-related procedures, including screening evaluations. 3. Diagnosed with type 2 diabetes mellitus (T2DM) with glucose control managed with any insulin and/or oral therapy combination where no significant dose changes of oral therapy of more than 50% have occurred in the 3 months prior to screening 4. Body mass index (BMI) between 25 and 45 kg/m\^2 (inclusive) at screening 5. Haemoglobin A1c (HbA1c) range of 6.5 % to 10.5% (inclusive) at screening 6. Renal impairment with estimated glomerular filtration rate (eGFR) ≥ 30 and \< 60 mL/min/1.73 m\^2 at screening. Approximately 16 participants (40%) are required to have a screening eGFR ≥30 and \< 45 mL/min/1.73 m\^2 and at least 16 participants (40%) are required to have screening eGFR ≥45 and \< 60 mL/min/1.73 m\^2. 7. Females of childbearing potential must have a negative pregnancy test at screening and randomisation, and must not be lactating. Women of childbearing potential who are sexually active with a non-sterilized male partner must be using at least one highly effective method of contraception from screening and up to 4 weeks after the last dose study drug. Exclusion Criteria: 1. History or presence of significant medical or psychological conditions, including substance dependence/abuse, or significant abnormalities in laboratory parameters or vital signs including electrocardiogram (ECG), which in the opinion of the investigator, would compromise the participant's safety or successful participation in the study. As an example, severe anaemia (haemoglobin \< 7.0 g/dL) could be exclusionary due to blood sampling required by the protocol, at the discretion of investigator. 2. Concurrent participation in another interventional study of any kind and repeat randomisation in this study is prohibited. 3. Any participant who has received another study drug as part of a clinical study or a glucagon-like peptide-1 (GLP-1) analogue-containing preparation within the last 30 days or 5 half-lives of the drug (if known; whichever is longer) at the time of Visit 2. 4. Any participant who has received any of the following medications within the specified timeframe prior to the start of the study (Visit 2) * Herbal preparations within 1 week prior to the start of dosing (Visit 4) or drugs licensed for control of body weight or appetite (eg, orlistat, bupropion-naltrexone, phentermine-topiramate, phentermine, lorcaserin) within 30 days (or 5 half-lives of the drug) prior to the start of dosing (Visit 4) * Aspirin (acetylsalicylic acid) at a dose greater than 150 mg once daily and within the last 3 days prior to the start of the run-in period (Visit 2) * Paracetamol (acetaminophen) or paracetamol-containing preparations at a total daily dose of greater than 3000 mg and within the last 3 days prior to the start of the run-in period (Visit 2) * Ascorbic acid (vitamin C) supplements at a total daily dose of greater than 1000 mg and within the last 3 days prior to the start of the run-in period (Visit 2) * Opiates, domperidone, metoclopramide, or other drugs known to alter gastric emptying and within 2 weeks prior to the start of dosing (Visit 4) 5. Severe allergy/hypersensitivity to any of the proposed study treatments or excipients 6. Symptoms of acutely decompensated blood glucose control (eg, thirst, polyuria, weight loss), a history of type 1 diabetes mellitus or diabetic ketoacidosis 7. Participants who have undergone a renal transplant 8. Participants with suspicion of acute or subacute renal function deterioration (eg, participants with large fluctuations of creatinine values documented within the 6 months prior to screening) 9. Significant inflammatory bowel disease, gastroparesis, or other severe disease or surgery affecting the upper gastrointestinal (GI) tract including weight-reducing surgery and procedures) which may affect gastric emptying or could affect the interpretation of safety and tolerability data 10. History of acute or chronic pancreatitis 11. Significant hepatic disease (except for non-alcoholic steatohepatitis or nonalcoholic fatty liver disease without portal hypertension or cirrhosis) and/or participants with any of the following results: * Aspartate transaminase (AST) ≥ 3 × upper limit of normal (ULN) * Alanine transaminase (ALT) ≥ 3 × ULN * Total bilirubin ≥ 2 × ULN 12. Poorly controlled hypertension defined as: * Systolic blood pressure (BP) \> 180 mm Hg * Diastolic BP ≥ 100 mm Hg Participants who fail BP screening criteria may be considered for 24-hour ambulatory blood pressure monitoring (ABPM) at the discretion of the investigator. Participants who maintain a mean 24-hour systolic BP ≤ 180 or diastolic BP \< 100 mm Hg with a preserved nocturnal dip of \> 15% will be considered eligible 13. Unstable angina pectoris, myocardial infarction, transient ischemic attack or stroke within 3 months prior to screening, or participants who have undergone percutaneous coronary intervention or a coronary artery bypass graft within the past 6 months or who are due to undergo these procedures at the time of screening 14. Severe congestive heart failure (New York Heart Association Class III or IV) 15. Basal calcitonin level \> 50 ng/L at screening or history/family history of medullary thyroid carcinoma or multiple endocrine neoplasia 16. History of neoplastic disease within 5 years prior to screening, except for adequately treated basal cell skin cancer, squamous cell skin cancer, or in situ cervical cancer 17. Any positive results for serum hepatitis B surface antigen (HBsAg), hepatitis C antibody, and human immunodeficiency virus (HIV) antibody 18. Nephrotic range proteinuria defined as spot urine albumin creatinine ratio (ACR) \> 250 mg/mmol at screening 19. History of substance dependence, alcohol abuse, or excessive alcohol intake (defined as an average weekly intake of \> 21 alcoholic drinks for men or \> 10 alcoholic drinks for women) within 3 years prior to screening, and/or a positive screen for drugs of abuse or alcohol at screening or on Day -5. Participants who use tricyclic antidepressants or benzodiazepines for an established clinical indication may be permitted to enter the study based upon the judgement of the investigator