HSV made an attempt for the Dutch youngster in January, but the move was blocked by former Leeds manager Marcelo Bielsa.
The Hamburger Morgenpost says HSV remain keen on Summerville and will try again this summer.
The Holland U21 international has managed just 12 minutes with the first team this season in the FA Cup.
As such, Summerville is eager to leave Elland Road at the end of the season.
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