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Carvel Hartford Civic Center | Ice Cream & Cake Shoppe | Best Ice Cream & Custom Cakes Carvel Express Hartford , CT Information 1 Civic Center Plaza Hartford , CT 06103 Phone (203) 318-1566 Hours Shoppe hours may vary. Please give us a call for the most current hours. Welcome to Carvel Hartford Civic Center Welcome to Carvel on 1 Civic Center Plaza. Creamy, delicious soft serve ice cream is close by. We partner with other great brands, so you can crush your craving whenever you want.