Gemma, who is currently stunning viewers in the BBC's mini-series of Tess Of The D’Urbervilles, has hired a Spanish tutor so the couple can communicate properly, reports the Mail On Sunday.
"She's glowing and incredibly happy," a source on the film says. "She looks and acts like a woman who is head over heels in love.
"She told me she can't wait to learn Spanish so she can go to Madrid and meet his family."
The Gravesend-born Bond Girl is so happy with her new man that she asked Eduardo, who comes from a small village outside the Spanish capital, to move into her two-bedroom flat in Crouch End after filming of the fantasy romance moved to Pinewood Studios.