Answer ... Yes. Awards in arbitrations seated in Spain are enforceable in Spain under the same terms as rulings of a court (Article 44 of the Arbitration Act and Article 517.2, 2nd, of the Civil Proceedings Act 2000).
Foreign awards - that is, awards in arbitrations seated outside Spain - are enforceable in Spain only once they have received exequatur, as foreseen by Article 46 of the Arbitration Act, which provides that recognition and enforcement of foreign awards follow the New York Convention. In all matters not covered by the convention, enforcement of a foreign award will be subject to the provisions on enforcement set out in the Civil Proceedings Act 2000 as if it were an award or ruling issued in Spain.