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