Schalke director of sport Horst Heldt has challenged his side to reach the quarter-finals of the UEFA Champions League.
QPR, Burnley, Swansea, Stoke and Sunderland continued their preparations for the new Premier League season on Tuesday.
Schalke and Borussia Monchengladbach have hit back at Bayern Munich chairman Karl-Heinz Rummenigge.
Schalke claim they have had no contact from Liverpool over a possible move for Klaas-Jan Huntelaar.
Schalke have completed the signing of Cameroon striker Eric Maxim Choupo-Moting on a three-year deal from Mainz.
Hoffenheim have signed forward Adam Szalai from Bundesliga rivals Schalke for an undisclosed fee.
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