The Swede was six strokes behind the winning American Chris Gotterup, who managed to withstand the world's second-best Rory McIlroy in the final stage and secured the greatest triumph of his career so far.
McIlroy had to share second place with the Englishman Marco Penge, two strokes after Gotterup.
Even if Åberg never really was in the battle for victory, he offered several fine strokes and showed that the game is on the right track in the major rehearsal.
Behind Åberg, Sebastian Söderberg was the next best Swede, shared 34th after a stable final 69-round.
Jesper Svensson finished shared 43rd, while Henrik Norlander had it tough on Sunday – his 75-round meant a 78th place overall.
Next week's British Open will take place in Portrush, Northern Ireland.
