So it's no wonder her love life generates such interest.
When she was snapped picking up basketball player Matt Barnes from LA airport, celeb fans might have thought her romance with Penelope Cruz's musician brother Eduardo was over.
But it appears the pair are still an item.
Eduardo, 25, posted a photo of himself and the Desperate Housewives actress snuggling up at a music concert in California.
"Showing her what real music is like hahaha," read the caption accompanying the snap, which was taken while the lovebirds checked out a concert by Spanish rocker Enrique Bunbury.
The cosy snap - which Eva retweeted - marks the first time the pair have been pictured together in a while and comes after speculation over Eva's connection to basketball star Matt.
She insists the sportsman is just a good friend whom she knows through joint charity work interests.
After picking the 31-year-old up from the airport in her BMW, she reportedly drove him back to his house, where she stayed for several hours.
Matt has recently split from his partner of five years, Gloria Govan, with whom he has three-year-old twin boys.
So perhaps the 37-year-old actress was merely offering him a shoulder to cry on – after all she knows what it's like to go through a high-profile break up.