Police said they were called three times to a facility in the area of ​​Queen Street East and Bellefair Avenue, east of Woodbine Avenue, between 1:30 p.m.  and 1:45 p.m.
During that time, a man entered a store and became involved in three separate altercations with multiple customers, police said.
Police said a 22-year-old woman, a 46-year-old man and a 48-year-old man were among the people attacked.
On Tuesday, police released details of the suspect, who is considered violent and dangerous.
He is described as between 25 and 30 years old with a short build, dirty blonde hair with shaved sides and a small moustache.
Police said he was wearing a green top, dark blue or black gym shorts, black and gray socks and brown Birkenstock sandals.
They are asking anyone who knows the suspect not to approach him, but instead call 911, police at 416-808-5500 or Crime Stoppers anonymously at 416-222-TIPS (8477).