However, after the break, Karim Benzema pulled one back with a neat turn and finish. The world champions then turned the game around through goals from Kylian Mbappe and Theo Hernandez.
The quartet all missed the Reds' victory over Brentford before the international break. Gomez missed out through an unexplained issue, while Gravenberch was absent due to a knee problem.
The hosts opened the scoring in the first half through Santi Comesana. Luka Modric equalized from the spot, before Madrid took the lead four minutes before the breakthrough Eder Militao's header.
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Timothy Castagne steered Fulham level before the break but Ryan Gravenberch's perfectly-measured 20-yard effort flew in off the post to restore the Reds' advantage.
Mauricio Pochettino's side took the lead through Kylian Mbappe, but Andre Silva levelled the game before the break. Leipzig then took the lead through Nordi Mukiele, before Mbappe set up Messi for his first goal of the night.
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United took the lead through Scott McTominay, but the hosts fought back and levelled through Diogo Jota before the break. Chris Smalling then put the ball into his own goal.
Leon Bailey opened the scoring at Villa Park but just two minutes later the Clarets had their equaliser through Zeki Amdouni before Moussa Diaby put the hosts back in front moments before the break.