A bylaw spokesman says a woman was running with her dog on July 29 when the two were attacked by a Great Dane.
The woman and her schnauzer were both seriously injured.
A man, who was walking the dog, and a woman who owns it face six charges that include allowing an animal to run at large.
In another encounter earlier this week, two dogs attacked and killed a cat in an alley.
A man faces four charges in that case.
"The dogs, a husky and a Bouvier, had been running at large at the time of the incident," Abdul Rafih, an acting manager at Animal and Bylaw Services, said Thursday.
"We later determined the owner of the dogs was out of town and had left the pets in the care of someone else."
The dogs in both cases have been seized by the city.
A mandatory court appearance by the people charged is required and consequences could include fines up to $10,000.
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