Messi struck twice in the victory over Real Mallorca, to take him past the Brazilian great who scored 75 in 1958 for Santos and Brazil.
Messi is now nine behind German star Muller, who has the all time record with Bayern Munich and West Germany from 1972.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?