The Germany international is weighing up his options and says that Real coach Jose Mourinho is interested in signing him as cover for Iker Casillas.
"There is some truth in that Real Madrid want to sign me," Wiese told the Kreiszeitung Skye. "There was contact between the club and my agent.
"The decision I am taking is an important one. There are a lot of factors I am considering. One of these factors is my family.
"Playing in a foreign competition is definitely a flattering idea. Leagues like those in Italy, Spain or England are great."