Steven Gerrard pulled up with a hamstring problem during the 4-1 win over West Ham last weekend and limped out of the game in the 56th minute.
Swansea City knew that a point in would secure their qualification for the knockout stages from Group A but instead a second-half Marco Mathys goal allowed the already-eliminated hosts to bow out on a high.
Neymar showed his pace and skill with a well-taken hat-trick on a night he was simply too hot to handle for the Celtic back line and afterwards the forward said he was happy to play where asked and to do what he could to help the cause.
Demba Ba's first half goal was enough to fulfil that ambition and, while Chelsea were some way from their best, this fairly forgettable encounter could yet prove a significant stepping stone if they go on to have a successful European campaign.
Despite Ajax enjoying most of the possession in a dominant second half and laying siege to the Milan goal in the last quarter hour, Massimiliano Allegri's men held firm to finish second in Group H behind Barcelona.
Despite being already assured of a place in the last-16, Barcelona boss Gerardo Martino sent out the message that he didn't want a repeat of the lacklustre performance that saw his side beaten 2-1 by Ajax in their last Champions League outing as he named a strong side.
Arsenal's 2-0 loss to Napoli and Borussia Dortmund's 2-1 win over Marseille ensured a three-way tie atop the section, with Dortmund, Arsenal and Napoli all finishing on 12 points, and the German side progressed as group winners thanks to their better head-to-head record.
Both sides played competitive football and created goal-scoring chances, but failed to find each other's net in their 13th round clash.
Boateng's original contract was to expire at the end of the next season. Bayern recently extended the contract of another defender, David Alaba, also until 2018.
Wesley Sneijder's goal came five minutes from time to help Galatasaray beat Juventus and qualify for the next round of the UEFA Champions League.
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