The purpose of this clinical trial is to demonstrate that cilostazol is non-inferior to aspirin in terms of efficacy and safety for the secondary prevention of stroke in patients with acute non-cardioembolic ischemic stroke who have concurrent microbleeds. Researchers will compare the medication cilostazol with aspirin to assess its efficacy and safety in these patients. Participants will: Take the medication cilostazol or aspirin daily as part of an antiplatelet drug therapy. Have baseline data and follow-up data collected at the time of hospital admission, and then at 3 months, 6 months post-discharge, and annually thereafter up to 4 years. Have the primary endpoint set as stroke recurrence, with secondary endpoints being composite vascular events. Safety events will include moderate to severe hemorrhage and bleeding at any site.