Putin wants a Russia integrated into Europe. Don't forget that before the war in Ukraine, Russia was buying thermal tank sights from France and was trying to buy big ticket items like the Mistral helicopter carrier too.
He is similar to the reformists of Iran in lots of ways, except he's more willing to use force to maintain Russian interests like he did in Ukraine. He will not burn his bridges with Europe over Ukraine though. With Trump threatening Europe and with a looming energy crisis, he has a lot to potentially gain from this war.