Heidi Klum and Seal -- are they splitting up? That was the question over the weekend, and on Sunday the couple confirmed the news: After seven years together, they are calling it quits. "We have had the deepest respect for one another throughout our relationship and continue to love each other very much, but we have grown apart," the two told People exclusively in announcing their split. The couple went their separate ways the Saturday night of Klum's 13th annual Halloween extravaganza. The "Project Runway" host showed up in Las Vegas as a dead body stripped of skin, while Seal was out on tour in Belgium. They teamed up that Monday as apes, however, for a second Halloween fest in New York City, held on the actual holiday. Klum recently attended the Golden Globe Awards solo. In their statement, they described their relationship as "seven very loving, loyal and happy years of marriage," and their split as "amicable." The two had renewed their vows before friends each year, after he'd proposed with a massive rock in December 2004. They married five months later. On the more gossipy side of things, sources told TMZ that any "third party" involved in the split may have been Seal's hot temper, combined with their careers taking them in different directions. "It was a long time in coming," one source told the website. Though the couple's statement says they're separating, TMZ is saying a divorce is in the cards. The couple have four kids, three of them together: Leni, 7, Henry, 6, Johan, 5, and newest daughter Lou, 2. Seal in 2009 adopted Leni, Heidi's daughter from a previous relationship.