Bayern, Shakhtar, Chelsea roll; Barça cruises (Photos)

 Bayern Munich crushed Roma 7-1 on Tuesday to remain perfect in the 2014-2015 Champions League, which set a new record for most goals in a single match day with 40.

The German club's resounding win came on the road, as did Chelsea's 6-0 rout of Maribor and Shakhtar Donetsk's 7-0 thrashing of BATE Borisov.

Barcelona, meanwhile, survived a late scare to win 3-1 at home over Ajax.

 Arjen Robben contributed a pair of goals as Bayern built a 5-0 lead in the first half at Rome's Olympic stadium and went on to outscore the home side 2-1 in the second.

Bayern leads Group E with nine points, followed by Roma with four.

In Moscow, Manchester City squandered a chance to leapfrog Roma when the English club blew a 2-0 lead to end up settling for a 2-2 tie with winless CSKA.

Shakhtar Donetsk became the first team ever to lead a Champions League 6-0 at the half, embarrassing BATE to climb into second place in Group H with five points, two behind Porto, who beat Athletic Club 2-1 on Tuesday.

At the Nou Camp, goals from Neymar and Lionel Messi put Barça up 2-0 over the Dutch visitors just 24 minutes into the match and coach Luis Enrique decided to rest his stars in the second half ahead of this weekend's clasico against Real Madrid.

Ajax may have given Enrique some second thoughts when they narrowed the gap to 2-1 with Anwar El Ghazi's goal in the 88th minute, but Sandro Ramirez added an insurance tally for the home team in extra time.

The result leaves Barcelona with six points and a solid grip on second place in Group F, where Paris Saint-Germain leads with seven points after edging APOEL Nicosia 1-0 on Tuesday.

With top scorer Diego Costa sidelined by injury, Chelsea coach Jose Mourinho saw the Spaniard's replacement, Loic Remy, leave Tuesday's match injured after scoring the Blues' first goal.

The London club sits atop Group G with seven points, followed by Schalke, who raised their total to five with a 4-3 win over Sporting Lisboa. EFE