Born in Seville, Andalusia, Abascal joined FC Barcelona's La Masia in 2001, from hometown amateurs AD Heliópolis CF.

[2] Abascal retired from professional football at the age of 18, and started studying at the Pablo de Olavide University in his hometown,[3] while still representing amateurs UDE Abre and CD Aboño.

[4] On 12 June 2017, Abascal moved abroad, being appointed manager of Swiss Challenge League side FC Chiasso.

[citation needed] In July 2019, Abascal was hired as manager for the Primavera (under-19) squad of Italian club Ascoli Calcio 1898 FC.

[10] The following 27 January, Paolo Zanetti was dismissed as the head coach of the senior squad, and Abascal was appointed as caretaker manager.

[16] Abascal came back to Switzerland's top flight at FC Basel on 21 February 2022, following the termination of Patrick Rahmen's contract.

[23] On 19 June 2024, Abascal was appointed manager of Granada CF in his home country's Segunda División, after agreeing to a one-year contract.