The 29-year-old notched up 13 tries in that time and he is looking forward to settling straight into action.
"Its great to be here and I've settled in well already," said Lemi.
"It's a little bit colder than I'm used to but I'm excited about what lies ahead.
"I heard that Glasgow were interested at the World Cup and jumped at the chance as soon as I could as this is a big club in Britain.
"I have been at Bristol and London Wasps and I'm used to the game over here so it isn't new to me and I'm looking forward to getting stuck in and playing, especially in the Heineken Cup."