Every Saturday night from 10.30pm throughout August there will be free Flamenco singers in the "Plaza de la Marina"
You can see a very useful street map of cartagena below and "Plaza de la Marina" is in square I10
http://www.cartagenaturismo.es/files/61-21-DOC_FICHERO1/Planoespañol.pdf
So get yourselves down to Cartagena, grab some tapas and then finish the evening off with some flamenco in the square!
For more flamenco festivals click here
http://polarisworldandbeyond.blogspot.com/2010/07/summer-festivals-around-murcia-2010_02.html