Neymar had replaced midfielder Fernandinho at halftime with the score at 0-0 and needed only 23 minutes to make his mark.
Neymar's goal was his 54th for his country and he needs one to reach Romario as the third most prolific Brazil striker of all time behind Pele and Ronaldo.
Roberto Firmino added a second in stoppage time to satisfy the home fans on Merseyside.
Parson to take lead as Greitens resigns
He is accused of illegally obtaining a donor list to aid his 2016 election campaign from a veterans' charity he founded in 2007. A probable cause statement said Greitens did not have permission from the charity The Mission Continues to take that list.
The Brazilian lines up at his former home this afternoon for the first time since his January move to Barcelona in an worldwide friendly against Croatia.
Neymar had incurred a fracture on his foot while playing for club Paris-Saint Germain in Ligue 1 on February 25 in the match against Marseille.
Brazil, who became the first team to qualify for the World Cup in March, face Austria next Sunday before starting their Group E campaign against Switzerland on 17 June.
Both managers made several late substitutions that slowed the game down and Zlatko Dalic's Croatia found chances harder to come by after Neymar's introduction at half-time.
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Bale's - and Real's - four Champions League titles in just five years is an incredible feat but he played it down. The festivities began with players and team members participating in a ceremony at a local cathedral.
As the half-hour approached, former Anfield favourite Philippe Coutinho fired over and then cut in from the left before sending his attempted shot wildly wide.
Despite the looming spectre of the World Cup, now less than two weeks away, the game proved a physical one.
Operating a high defensive press to try and stop Brazil at the first opportunity, Modric pushed further forward off the ball coming in line with Andrej Kramaric to form a two-man defensive attack.
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Now I understand why the rest of the National Football League fans hates us going to so many Super Bowls. Irving underwent nasal surgery a few days earlier to fix a deviated septum.