Crown Prince Mohammed told Russian President Vladimir Putin that Saudi Arabia wants to continue cooperation with Russia on global oil markets, adding that this cooperation was beneficial for the whole world.
Villarreal winger Cheryshev took the ball on inside the box, taking two sliding Saudi Arabia players out of the game with his first touch before getting the ball out of his feet and firing high into the net.
Just 12 minutes into the match, the Saudi backline got caught out of place after a corner kick, leaving a wide open opportunity for Yury Gazinsky to score the opening goal of the tournament. "We saw that we are on the right track but we should forget this game and concentrate on the next one", Cherchesov said after ending a seven-game winless run in emphatic style.
The crowd were then treated to a fabulous finale as Cheryshev cleverly rifled home an unstoppable curving fourth with the outside of his foot before Golovin capped a great personal performance by curling his free kick beyond the wall.
Canada will host men's World Cup matches for the first time, while Mexico gets its first taste of the event since 1986. Preparation for the World Cup will not require major construction work because the 16 stadiums where matches will be played already exist.
The World Cup is due to feature 48 teams and will take place across three countries for the first time.
Only South Africa, in 2010, have failed to qualify from the group as the host nation, and Russian Federation must still get a positive result against Egypt and Uruguay to emerge from Group A.
But with the five goals against the Saudis, a draw could be enough against either of its two remaining opponents.
Aside from wing-back Yasser Al Shahrani, who impressed down the left flank, Saudi Arabia offered little and did not even threaten a shot on target.
The other Group A teams Uruguay and Egypt meet Friday in Yekaterinburg.
But while Juan Antonio Pizzi's team are rank outsiders at Russian Federation 2018, they could have done more to exploit the nerves and tension of the hosts inside the Luzhniki.