Consumers have been affected in Malaga, Cordoba, Granada, Jaen and Sevilla.
Those falling ill have complained of a sore throat, headaches, hot flushes, sweating, nausea and vomitting.
The Junta are advising consumers to avoid eating tuna bought between April 25 and May 5.
Some of the infected batch may still be on sale.
Barcodes ending in 170501, 170502, 170503, 170504, 170505, and 170506 have been removed from shelves.