In the 2012 PDC World Championship Alcinas was knocked out 2–3 in the first round by Andy Hamilton in a high-quality match. He averaged 107.82 to win the first set and had two darts in the first leg of the deciding set to break throw, but missed and ultimately lost with an average of 98.76, which was the third highest average out of all the players in the first round. He once again partnered Rodriguez in the 2012 PDC World Cup of Darts, but they could not repeat their success of 2010 as they were beaten 2–5 by South Africa in the first round. The rest of 2012 proved to be disappointing for Alcinas as he took part in 22 PDC ProTour events, with his best result being a last 32 loss to Dennis Priestley in the sixth UK Open Qualifier. In an attempt to qualify for the 2013 World Championship he was beaten in the semi-finals of the West European Qualifying by Stefan Couwenberg. After the World Championship Alcinas was ranked world number 60, inside the top 64 who retained their tour cards for 2013.