Russian Prime Minister Vladimir Putin, who have won Sunday's presidential election, invited opposition leaders for cooperation on Monday.

Putin made the remarks during his meeting with three election rivals, including A Just Russia leader Sergei Mironov, independent candidate Mikhail Prokhorov and Liberal Democratic Party leader Vladimir Zhirinovsky.

The president-elect also said he would instruct the Central Election Commission (CEC) to investigate all possible violations during the vote.

"I have not yet told (CEC Chairman Vladimir) Churov....I'm sure I would have a conversation with him, asking him to thoroughly probe into all possible violations that you spoke about," Putin told the three rivals.