Kim Kardashian and Kanye West have dismissed rumors that they have been "cooling off," the couple were photographed on the hunt for a new home to purchase together in Miami.

The couple checked out 4 waterfront properties on Monday, Oct. 8. The homes were all mansions that ranged in priced from $7 to $10 million. 

Kardashian confirmed the report of their outing with a tweet,"Miami fun day with @kanywest"

Sources told TMZ that the couple, dubbed "Kimye," have had several discussions to take their relationship to the next level by getting their own private place to live in together for the next couple of months. 

Perez Hilton obtained photos of the fashion-loving pair entering a potential love nest.

West was casual for their outing, the "Otis" rapper wore a t-shirt with Nike shorts and red Nike Air Yeezy sneakers of his own design. His girlfriend wore a silk blouse, leather mini-skirt and cut-out towering heels. She complimented the look with Louis Vuitton clutch and bracelet that were said to be gifts he bought for her during his recent trip in Paris.

The outing was the first for the pair since since West returned from Paris Fashion Week, doubting rumors that the couple were "cooling off."

A source reportedly told New York Post that West was "cooling off" from Kardashian, and that he wasn't "as tight with her as he was." 

Kardashian arrived in Miami last month with her older sister Kourtney to film their E! spin-off reality show "Kourtney & Kim Take Miami."  The show will air on E! in January, 2013.

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