The 38-year-old was with Arguello for almost four month, but decided to part ways this week, reported a website.
The two met while Longoria was producing her dating show 'Ready For Love'. Arguello was a bachelor on the program.
According to a source, there are chances that the couple will rekindle romance. "They're just on hold right now," said the source.
Photos: 'Dangal' girls Sanya Malhotra, Fatima Sana Shaikh's dinner outing
Photos: Salman Khan, Daisy Shah spotted at the Mumbai airport
Photos: Rakhi Sawant to play Honeypreet in Ram Rahim biopic
Photos: Arvind Kejriwal asks Kamal Haasan to join politics
Photos: TV actress who played goddesses on the small screen