He wants to add the Confederations Cup to that, and says it'd be a "dream" to do it.
Russian Federation coach Stanislav Cherchesov said he would welcome a duel with the five-time World Cup winners.
Which teams are competing this year?
Russian Federation reached the semi-finals of Euro 2008 but failed to qualify for the 2010 World Cup and have not progressed beyond the group stages in their three subsequent major tournaments.
Mutko, Sorokin and Samoura were speaking at the official pre-tournament press conference in Saint Petersburg on Friday.
A squad missing many top Europe-based players defied doubters to win the country's first African title in 15 years in February.
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"I've seen teams make it through by drawing all their games, so it can decide whether or not your tournament's going to be smooth or whether it's going to be a bit of an uphill struggle".
As they did back in 2005, Australia kick off their tournament with a match against Germany, with the match being held in Sochi at 1am next Tuesday morning Australian time.
"Fans (must) understand that they will be jeopardizing the game by refusing systematically to respect fair play", Samoura said at a briefing.
"It will be the first time Portugal compete for the Confederations Cup trophy", he told Federation Internationale de Football Association earlier in the year.
Cristiano Ronaldo provides star quality at the Confederations Cup.
Apart from talisman Ronaldo, Pepe will be leading the Portuguese defence like he did in the Euro final.
Federation Internationale de Football Association and World Cup chiefs have dismissed a damning Human Rights Watch report suggesting widespread exploitation of construction workers for the Russian tournament.
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Jason Day , the world number three, will also have the weekend off after a 75 left the Australian at 10 over through two rounds. Or Rory McIlroy , who drove the No. 2 green, made eagle and then saw everything go haywire from there in shooting 78.
Hosts Russia, who drew with Copa America champions Chile 1-1 in a friendly last week, slipped to a record low 63rd in Federation Internationale de Football Association world rankings this month.
The extent to which the various concerns surrounding the Russia World Cup will still be causing furrowed brows by the time of the tournament will be clearer once the Confederations Cup comes to a close.
Hot Chile: Chile will be aiming for their third major tournament trophy in as many years, having won the Copa America in 2015 and 2016.
Alexis Sanchez, Arturo Vidal, Claudio Bravo and Eduardo Vargas will be some of the key figures for La Roja.
Anthony Hudson's side are through to the final round of regional World Cup qualifying and will play Solomon Islands in a two-legged play-off, but New Zealand suffered 1-0 defeats to Northern Ireland and Belarus in recent friendlies.
PLAYERS: Tim Cahill is the only surviving member of the squad from Australia's last Confederations Cup appearance in 2005. Although it is progressing smoothly in World Cup qualifying, Oceania isn't guaranteed a spot in Russian Federation.
The 2012 Club World Cup in Japan was first global tournament where the system was used and tested.
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