Russia will next take on Egypt on Tuesday.
It will not be easy to write off Russia after the 5-0 rout handed to Saudi Arabia in the World Cup opener, but coach Stanislav Cherchesov has asked the team to forget Thursday's win and set sights for the upcoming matches.
"Today showed we are on the right track but we need to forget about this game ... and concentrate on the next step," he told reporters, thinking ahead to Tuesday against Egypt before a showdown with Group A favourites Uruguay in 10 days time.
A first-half hamstring injury to Alan Dzagoev had a silver lining on the night as substitute Denis Cheryshev came on to score twice, but the coach also could not hide his fear the creative midfielder could be out for the rest of the tournament.
Medical tests on Friday will tell, Cherchesov said. The way Dzagoev pulled up suddenly in extreme pain did not look good for the CSKA Moscow player, three days before his 28th birthday.
Looking relaxed after taking a congratulatory phone call from President Vladimir Putin, who watched in delight in the stands, Cherchesov stressed that Russia, the weakest team in the competition by FIFA ranking, have to do more than thump the second weakest to rid themselves of the underachiever label.
There was, he said, still scope to fail to get out of the group but he also had a warning to the doubters who have watched his automatic qualifiers flounder through a diet of friendlies.
Russia, he explained, have been preparing for their moment of history in their home World Cup. "To be good is one thing," he told reporters. "But to be good at the right time in the right place is quite another."
He pushed back some sniping from Saudi Arabia's Argentinian coach Juan Antonio Pizza who pronounced himself unsurprised and unimpressed by the hosts.
His tactics might have been familiar, Cherchesov said, but the performance was tighter, more disciplined and more mature than his side had shown before.
Midfielder Yuri Zhirkov said: "We played well, controlled the ball. We need to keep doing that ... Cherchesov says that we did well, that it's the first game and we need to keep going."Egypt, especially with returning Liverpool striker Mohamed Salah, would be a different test, Cherchesov said.