The Royal Blues are looking to sign a new goalkeeper this summer, and the Hannover and Kaiserslautern No. 1s are high on their list.
With Manuel Neuer closing in on a move to Bayern Munich, Schalke are scouring Europe for a possible replacement and, according to Bild, have made official offers for Kaiserslautern's Kevin Trapp as well as Hannover's Ron-Robert Zieler.
Trapp is a product of the Kaiserslautern youth academy and made his Bundesliga debut in March 2011. The 20-year old has since made nine league appearances and his good performances have not gone unnoticed elsewhere.
Schalke coach Ralf Rangnick is a keen admirer of Trapp and the Gelsenkirchen side have made a €5 million offer for the youngster.
Nevertheless, 1FCK are not impressed with Schalke's bid and have reportedly set a €9m asking price for Trapp. His current contract with Kaiserslautern runs until the summer of 2013.
Should Kaiserslautern refuse to budge, another option for Schalke is Zieler. Hannover only signed the 22-year-old last summer, but with his contract set to expire in 2012, the Reds be forced to part ways with the former Manchester United man.
The Lower Saxons supposedly want €8m, but Schalke are prepared to pay no more than the €5m offered for Trapp.
In addition to Zieler and Trapp, Schalke have also been linked with Maarten Stekelenburg. However, the Ajax goalkeeper appears to be too expensive, with the Bundesliga side having narrowed their search to more affordable options within Germany.