In October 2014, Reyes bested a field of 154 players to win the Iberian Qualifier for the 2015 PDC World Championship, sealing his place in the draw by whitewashing Jose Rodriguez 6–0 in the final. He entered the event in the preliminary round and comfortably beat Christian Perez 4–0. Reyes then took the first two sets against Wes Newton, before the world number 13 responded to level the tie. Both players broke each other's throw in the deciding set, with the match going in to a sudden death leg. Reyes' first dart hit the outer bull as in a sudden death leg both players throw a dart at the bull to decide who throws first. However, the referee did not realise this and Reyes was made to continue the leg until the refereeing team stepped in to restart it after both players had thrown six darts. Reyes again hit the outer bull to throw first and won the match by hitting double 16 at the first time of asking to complete a huge shock. Newton branded the refereeing a joke but praised Reyes for having better composure in the same situation.

Reyes made history in the next round as he became the first Spanish player to make it to the third round of the PDC World Championship. He fought back from 3–1 down against Kevin Painter to beat him 4–3, winning the final set without reply. Reyes averaged 115 in taking the first set of his third round match with Gary Anderson, before Anderson responded with four straight sets to end Reyes' tournament. Reyes missed three darts to extend the game into a sixth set, with Anderson's final average of 104.54 being the second highest of the tournament. Former world number one Rod Harrington suggested Reyes' performances in the event would result in the emergence of more Iberian darts players in the future.

As a result of his World Championship performance and the non-renewal of Tour Cards by Richie Burnett and Jarkko Komula, Reyes picked up a PDC Tour Card for the first time in January 2015. He threw a nine-dart finish in the last 16 of the second Players Championship event, but would go on to lose the match 6–2 against Robert Thornton. Reyes was now the number one Spanish player on the Order of Merit and he teamed up with Antonio Alcinas at the World Cup of Darts. In Reyes' debut in the event they whitewashed Norway 5–0 in the opening round but lost their single matches to the Belgium brothers Kim and Ronny Huybrechts in the second round. In his first European Championship, Reyes averaged 100.69 in defeating Max Hopp 6–2, but was then heavily beaten 10–3 by Michael van Gerwen. He was consistent on the Pro Tour during the year with a number of last 16 finishes amassing him £18,000 on the Order of Merit. This saw him qualify for the 2016 World Championship and a first round rematch from last year with Wes Newton. Reyes relinquished the first set from two legs to none up (missing seven set darts in total) despite Newton averaging just 67.31 and went on to lose 3–1.

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