There is a FULLY LEGAL (insured for the transport of fare-paying passengers, unlike numerous others offering an ILLEGAL service) operating from Thalassa and the surrounding areas.
Their telephone number is:677-865-050
They also offer Golf Tours, and have tremendous knowledge of the golf courses throughout the area.
On a "fun" note, there is a "train" which, during the high season, runs right along the coast road via Vera, Garrucha through to Mojacar turning round at the very end of Mojacar Playa and coming back. If I remember rightly, the tickets are available from the tourist information bureau which is situated across the road (next door to the international book stall) at the main Mojacar roundabout (the one with the impressive fountains) by the shopping centre. Apparently you can jump off and on where you want to, and the service continues till the wee small hours of the morning. Absolutely fab if you have children or you simply haven't chosen to grow up yourself!
Have fun!
Regards,
Lorraine Braid.