We were staying at Casa Vieja 1840 (casavieja1840.com) and the owner Karen send us to la Onda which is located just of the Plaza de las palomas and just a few blocks away from the hostal. It is one of havana's best colonial styled tapasbars (with definitely the widest range of wines in the city), the atmosphere is very cosy with its traditional wooden ceilings, old terra cotta tiled floors and beautiful inner courtyard surrounded by light blue balconies. The waiters are super friendly and prices are more than reasonable. Its a bit hidden so you won't find too many tourists or big crowds. Are you a Daiquiri lover? Ask for Yanai to make you one, she definitely makes the best Daiquiri in town.
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