The Moliwood dream team became the first European pairing to ever win all four matches in the Ryder Cup last week.
And now back to their days jobs at Walton Heath in Surrey, the duo are the top two in the rankings for this season’s Race to Dubai with six events left.
“It’s going to be a little strange to try and beat each other instead of playing as a team,” said Open champion Molinari.
“We can still celebrate each other’s success but it will be different. It’s back to normal, really. We’re still going to go out for dinner one of these nights but I still need to try and beat him to stay ahead in The Race to Dubai.
“I can’t wait for the trash talk. It’s funny how things are, that of all people, he’s the one right behind me.
“But I need to focus on what I’m doing. And I might not talk to him and give him a cold shoulder and see how he takes it!”
Despite feeling “jaded”, Fleetwood, 27, will play three more events following this week while Molinari will only tee up twice after revealing he suffered from a bad back at the Ryder Cup.
“On Monday, I couldn’t do my shoelaces,” said the Italian, 35. “I’m not a kid like Tommy. I need to manage my energies and my bodies. I started to feel it Saturday morning at The Ryder Cup and just started taking some anti inflammatories.
“It’s a week that you’re so pumped up with adrenaline, anyway, that you could probably play on one leg. I can’t blame it on carrying Tommy for two days!”
Fleetwood, who was crowned European No.1 last season, believes he will be a winner either way in the Race to Dubai. Molinari leads him by 1.4million points in the race.
“Somebody else could always come into the mix but if it was me and Fran it came down to, either way I’m going to be more than happy, whichever way that would turn out,” he said.
“I think we won’t hold it against him. With the year he’s having, I think he might deserve it.”
Tournament host Justin Rose, who was suffering from illness yesterday, will return to World No 1 with a top-two finish.
Padraig Harrington’s path to the European captaincy in 2020 has been cleared with Lee Westwood saying he wants the job in Rome in 2022.
The two vice-captains in Paris will play with European winning captain Thomas Bjorn in the first two rounds at Walton Heath and
Westwood said: “I won’t be putting my name forward for this one, I’d prefer do it in Rome if possible. That would be great.
“I’d like to be playing in two years’ time. Padraig Harrington is the ideal candidate for the captaincy.”