La Liga has said it is not aware of any approach made by the Premier League to its president, Javier Tebas.
The Times's Martin Ziegler reported Tebas has been identified by the Premier League to possibly succeed Richard Scudamore as chief executive.
Scudamore stood down from the role last year after almost 20 years in charge. Susanna Dinnage, global president of Animal Planet, was then named as his successor before she decided to walk away from the role in December.
Per ESPN FC's Adriana Garcia, La Liga has stated it is unaware of any interest from the Premier League, but added the link is flattering:
"We are not aware of this supposed interest.