Luis Suarez will leave Atletico Madrid at the end of the season, the La Liga club announced on Sunday.
The last time Suarez met Liverpool in Spain was also the first time since he left the club five years earlier in 2014 and it was the Uruguayan who set the tone.
Barcelona president Joan Laporta had said a few hours before kick-off that Koeman would continue as coach 'regardless of the result' at the Wanda Metropolitano.
Edinson Cavani fires Uruguay into last eight as Portugal striker Cristiano Ronaldo's World Cup dream ends
Cavani curled home a superb 62nd-minute winner to settle a thrilling second round duel in Sochi which sends Uruguay into a quarter-final against France next Friday.
Suarez was thrown out of the 2014 World Cup in Brazil and subsequently banned for biting Italian defender Chiellini.
The Celeste have been widely tipped to top a relatively weak-looking group, which contains hosts Russia, Saudi Arabia and Egypt.
After the striker was expelled from the 2014 tournament in disgrace for biting Italy defender Giorgio Chiellini, Uruguay was eliminated by Colombia in the round of 16.
The Celeste, welcomed by a small group of fans at the city's airport, will be based in Bor, some 20 kilometres from central Nizhny.
From Luis Suarez's teeth to Roy Keane storming out on the Republic of Ireland and Toni Schumacher pole-axing Patrick Battiston in '82.
Edinson Cavani and Luis Suarez were born in this northern Uruguayan river town just three weeks apart in the late austral summer of 1987.
Coutinho, who arrived from Liverpool in January, and Dembele, whose debut season in Spain has been thwarted by fitness problems, are the new additions.
It was at the Santiago Bernabeu that Barca last tasted defeat in August as Real cruised to a 5-1 aggregate win in the Spanish Super Cup.
Barcelona restored their lead at the top of La Liga to five points as the duo struck in the final 20 minutes to edge out 10-man Villarreal 2-0.
Most worryingly for Barca's future is that Neymar has gone in his prime at 25, leaving behind an ageing squad.
A host of footballing stars including Barcelona striker Neymar and ex-Barca star Xavi were expected among the 260 guests