There are 2 metro stops close to Casa Dante, both on the L4 Yellow line.
Alfons X: is a 10 minute walk
Guinardo / Hospital Sant Pau: 8 minutes walk (uphill)
The Yellow line will take you straight into the centre “Passeig de Gracia”, the Gothic Quarter “Jaume 1”, The Barceloneta Beach “Barceloneta” and the Bogatell Beach “Bogatell”.