Hey, @JPedrego! I was doing some digging and found that there is a cherry that does well here in the desert. It's a Barbados Cherry (Acerola). I have no experience with it, but it looks interesting.
There's a fellow in Glendale who propagates and sells them, but you have to pre-order and then go pick them up. Do an internet search for Shamus O'Leary's Tropical Fruit Trees. You'll find him on FB. He also has avocados, mangoes and lots more.
Can't tell you anything else about his trees, I've never purchased from him.