If you play slots your odds are not nearly as good. When you walk into the casino they give you $20 in free chips to play a special game. YOU are. There is also some poker action at Avalon casino. It has a. Dream Casino: Beware of casino - See 59 traveler reviews, 16 candid photos, and great deals for Punta Cana, Dominican Republic, at Tripadvisor. Play with the Greats THE ULTIMATE GAMING LINEUP. There are several small casinos in the resort town. You will find the same games in the Dominican Republic you would find back home. Gambling establishments offer tables for poker, roulette, blackjack and the wide selection of slot machines. . Top Dominican Republic Casinos: See reviews and photos of casinos & gambling attractions in Dominican Republic on Tripadvisor. The Hard Rock Casino Punta Cana rocks with of your favorite slot and video poker machines. The property has a hotel with rooms. The largest gambling city in Dominican Republic is Santo Domingo with 15 gambling facilities, tables games, 1, gaming, slot, and video poker machines. Reading comments online. Dominican Republic. The casino's gaming space features twenty gaming machines and seven table and poker games. The game is very Roullette like (looking). there are a number of poker rooms in the Dominican republic, like Hard Rock Punta Cana. There are hundreds of jurisdictions in the world with Internet access and hundreds different games and gambling opportunities available on the Internet.