La Real have been a revelation in the opening months of the season.
El Mundo Deportivo says star fullback Alvaro Odriozola has popped up on Barca's radar. The youngster is also being tracked by Real Madrid.
Odriozola is tied to La Real until 2022 and his deal carries a €50m buyout clause.
Meanwhile, teammate Mikel Oyazábal, 20, is another being watched by Barca this term.