Many thanks to Ayako for tweeting the link!
Punta del Este correspondent for Portal de America, Florence Sader took a photo of Keanu Reeves during his visit to Haras Godiva. Keanu was posing with a Lusitano horse. The breed is from Portugal and is similar to the Andalusian horse. He was accompanied by Mauricio Delucci who is a horse trainer that specializes in this breed.
The photo is here.
Note: If I remember correctly, Kim raised Analusian horses for a period of time.