Socialist candidate Segolene Royal called for talks with Mr Bayrou, who polled one in five ballots but centre-right frontrunner, Nicolas Sarkozy, said he would not compromise his own political stance and at a rally in Dijon, he said: "I will not cut a deal at the expense of my convictions."
Nicolas Sarkozy urged voters to support his "new French dream" of a more dynamic France where he would make the national motto of fraternity an actuality.
Nicolas Sarkozy made no reference or comments about his rival Segolene Royal, who was meanwhile holding another rally in the southern city of Valence, where although she had previously not wanted anything to do with Francois Bayrou, now said she was available for a public dialogue.
Nicolas Sarkozy won 31% of the weekend vote, while Segolene Royal, bidding to be the first female leader of France, claimed nearly 26% and beat another 10 candidates.
