Quebec provincial police filed a request to have Justin Bresaw extradited but it's not yet clear when he will be returned to Canada.
"Right now, Mr. Bresaw is detained in Florida and he's facing charges up there," police spokesman Marc Tessier said Monday.
"After the due process is done in the United States, he will brought back here to face charges of a triple murder here in Canada."
The 35-year-old Bresaw was the subject of a Canada-wide arrest warrant and an alert by Interpol after a house fire last month in Amos, a town in northern Quebec.
He is facing first-degree murder charges in relation to the two men and a woman found dead in the home.
After eluding police for over two weeks, Bresaw was spotted in Tallahassee, Fla., shortly after 1 a.m. on Sunday, charging a laptop in an electrical outlet behind a church.
David Northway, a spokesman for Tallahassee police, said Bresaw initially gave police a false name and managed to flee the scene after giving his real name.
An officer who tried to arrest Bresaw was left with a gash on his face and a broken nose after he fell into a metal support beam during a tussle, Northway said.
He said Bresaw was eventually tracked down three hours later, hiding underneath a house. Police dogs and a helicopter were used to find him.
Bresaw is facing charges in Florida that include resisting an officer with violence and battery on an officer.