After an opening ceremony which included British pop icon Robbie Williams, it took just 12 minutes for the tournament's first goal, with Gazinsky opening his global account with a well-taken header across goal.
Dzagoev hurt his hamstring in the opening period and could be a doubt for the rest of the tournament, depending on the results of a scan.
Substitute Denis Cheryshev soon scored the first of his two goals.
Minutes before Saudi Arabia kicked off the tournament against host nation Russia, Putin said: "I congratulate all of you at the start of the most important championship in the world".
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White House spokeswoman Sarah Sanders said United States and North Korean officials would hold working-level talks on Monday. He could be seen speeding through Singapore on Sunday in a black limousine adorned with large North Korean flags.
The fact that two of the world's best players, Portuguese centre-forward Cristiano Ronaldo and Argentine playmaker Lionel Messi have not yet won the cup for their respective countries - despite the duo dominating the lovely game virtually unopposed - has captured the minds of spectators from around the world. "This has nothing to do with the World Cup", he told reporters.
On the break Zobnin drove forward and his shot was parried clumsily by Al-Mayoof as Saudi Arabia cleared the danger.
Still, as high as the price tag is, economists say the massive effort won't be enough to generate much of a blip in Russia's nearly $1.5 trillion economy. The CSKA Moscow playmaker was fantastic through, laying on two assists with pinpoint crosses either side of half time. Cherchesov said later that his tournament might be over but one man's misfortune is another's opportunity as his replacement Cheryshev doubled the lead with a mesmerising touch of skill.
Saudi Arabia's route to the knockout round is much more hard.
Two teams notably absent from the tournament are Italy and the Netherlands.
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First, they will attend a lunch at Chester Town Hall, followed by official opening the Mersey Gateway Bridge. They arrived at Runcorn earlier this morning when Meghan revealed it was her first in the North.
On Friday, Egypt takes on Uruguay, Morocco faces Iran and Portugal squares off against Spain.
The hosts' main goal threat should come from Fedor Smolov.
There was still time for yet another cracking goal, this time via a fine Aleksandr Golovin free-kick.
Russian Federation dominated in front of a sell-out crowd of 78,011 - and millions more on TV - at Moscow's Luzhniki Stadium and also overcame a major blow when forward Alan Dzagoev had to limp off midway through the first half with what appeared to be left hamstring injury.
The duo are the first subs to ever score in a World Cup opener, according to statisticians Opta.
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Mr Pompeo also said the USA wants North Korea to take "major" nuclear disarmament steps before the end of Mr Trump's first term in 2021.