The departing Bayern Munich striker has offers from across the world and is said to have been favouring a move to MLS.
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Los Angeles FC are in talks with Muller and there is an expectation the Germany World Cup winner is ready to agree to join LAFC as a replacement for Olivier Giroud.
However, the Sydney Morning Herald claims Sydney are making an attempt for Muller.
But it's expected to be a fruitless exercise, with the A-League club not having the spending power to match LAFC's €4m-a-year contract offer tabled to Muller.