The 58-year-old man, who has not been named, was watching a hockey game at home around 8:30 p.m. PT on May 30, when he decided to go for a walk to watch the sunset at Kitsilano Beach.
The man returned, dazed and confused, at 10:30 p.m. with a small head wound. When asked about it, he could not provide any details of what had happened.
Police said Thursday it is unclear if he was involved in an altercation or an accident, but they are following up on several tips received after they alerted media to the situation Wednesday.
The man wore a New York Yankees baseball cap, an orange shirt, cargo shorts and flip flops on his walk, and carried a black backpack.
He is described as five feet 10 inches tall, with a heavy build, short salt-and-pepper hair, and a dark complexion.
He was known to walk to the beach to enjoy the sunset and had no previous record.