Putin has promised that his country will complete the preparations for hosting the tournament on time.
“Everything is going according to scedule, everything is supported by the financial backing,” Putin said.
Infantino said he was confident Russia would put on a tournament to remember.
“The World Cup is the most famous sports symbol, it’s unique,” he said.
“We will tell Russia and the entire world what a competition will take place here in 2018. I’m confident that it will be a remarkable tournament.”
The FIFA boss said he was impressed with the modernisation of the Luzhniki stadium.
“The stadium is absolutely amazing. It’s very beautiful and it has absolutely everything that a stadium of the highest class should have,” Infantino said.
The World Cup will be played between June 14 and July 15 at 12 venues in 11 cities — Moscow, Saint Petersburg, Sochi, Kazan, Saransk, Kaliningrad, Volgograd, Rostov-on-Don, Nizhny Novgorod, Yekaterinburg and Samara.