updated 01/21/2012 AT 1:35 PM ET
•originally published 01/21/2012 AT 7:15 AM ET
The couple were married in Mexico in 2005 after having met the previous year.
There has been no comment from their reps. Klum’s father, Günther Klum, when reached on his cellphone by the German publication Bunte, sounded surprised by the news and replied, “I don’t know anything about it, call me again tomorrow.”
The two were reportedly last seen together on Dec. 27, when the supermodel-mom Tweeted a photo of herself and her musician husband in Aspen, reports the Daily Mail.
She and Seal, 48, also have three children together: Henry Günther, 6, Johan Riley, 5, and Lou Sulola, 2.
When she was pregnant with daughter Lou, Klum said of her marriage, “When we’re home, we’re cooking and doing things with the kids, driving them to school. We do the things that everyone has to do.”