The ex-couple were spotted at a Los Angeles-area hotel on Wednesday having lunch.
"They remain friends and everything is amicable," a source tells PEOPLE. "Eva is a class act. That's how gracious she is."
Last month, Longoria, 35, filed for divorce from her NBA star husband of three years among rumors of infidelity. Days later, Parker, 28, filed his own divorce petition.
Despite the dueling divorce filings, a source told PEOPLE recently that the couple "are still committed to working this out together amicably."