It was Levante's first victory since Oct. 26. Both sides remained in the middle of the standings.
"This is a huge boost for us considering the negative streak we were on," Barral said.
The former Sporting Gijon player added that with 20 points, Levante was halfway to its goal of finishing the season with 40, the minimum it believes necessary to avoid relegation.
Barcelona hosts Villarreal on Saturday while third-place Real Madrid visits Osasuna. Also, Granada visits Rayo Vallecano and Malaga welcomes Getafe.
Atletico Madrid, co-leader with Barcelona, hosts Valencia on Sunday. Elsewhere, it's: Almeria vs. Espanyol, Real Sociedad vs. Real Betis, and Sevilla vs. Athletic Bilbao.
Valladolid hosts Celta Vigo on Monday.