Crypto started this successful business using all of the proceeds from their Big Willy franchise. The Furons use this place to maintain a steady flow of cash and DNA, and Crypto merely to unwind from decades of DNA gathering. They have faced competition from the Molinari Brothers who own the Nero's Palazzo casino, thinking they are going to open an alien-themed resort to bring in a family crowd.
After the Nexos attacked it, Crypto was forced to annihilate all of Paradiso to erase evidence of the Furons' presence there, including the Space Dust. This drove him to seek revenge on the conspirator who sent the Nexos.