Chelsea had been after an English goalkeeper but gave up after a bid for John Ruddy was rejected and other targets voiced concerns over a lack of first team football on offer.
Schwarzer leaves Fulham to join Chelsea as he bids to play in the World Cup next year for Australia.
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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.