Alcaide began playing pool aged 5, and became national Spanish eight-ball champion aged 14. Alcaide made his first breakthrough reaching third place at the Spanish Open in 1998. Later during the 2001 WPA World Nine-ball Championship, he reached the knockout rounds, before defeating Alex Lely 9–7 and Dimitri Jungo 9–3 to reach the last 16, before losing to Jeremy Jones 9–11. During the 2006 event he survived the group stage, before defeating Jörn Kaplan and Lee Vann Corteza but was eliminated in the round of 16 by Rodolfo Luat. Having reached the last 16, Alcaide was seeded 25th for 2007 event, and despite losing once in the double-elimination round to Muhammad Zulfikri 1–9, he reached the final rounds with a 9–0 whitewash of Stephen Capaldi and a 9–4 win over Robb Saez. However, Alcaide lost 10–1 to ninth seed Francisco Bustamante in the knockout round. In 2013, Alcaide competed at the 2013 World Games, but lost in the nine-ball event 11–7 in the last 16 to Liu Haitao. At the 2015 WPA World Nine-ball Championship, Alcaide won against Chu Bingjie and Hesam Abdulaziz in the group stage to qualify for the knockout round, before winning over Yang Ching-shun and Toh Lian Han. Alcaide lost to Wojciech Szewczyk 10–11 in the last 16. Alcaide was the first Spanish player to represent Europe in the Mosconi Cup, which he did in 2006. Alongside fellow Mosconi Cup debutant Imran Majid, the pair defeated Earl Strickland and Johnny Archer. Alcaide finished the event with four wins and two losses, however his 5–2 loss to Corey Deuel was the last of the event, seeing the cup end tied at 12–12. Alcaide did not represent the team again, until coach Marcus Chamat played Alcaide in the 2017 Mosconi Cup as a wildcard. In 2017, Alcaide won three games, and lost once, before Europe won 11–4. Later in the season, Alcaide won the 2017 Kremlin World Cup. Alcaide won the 2017 World Pool Masters, having defeated the defending champion Shane Van Boening in the second round, and defeating Jayson Shaw in the final 9–8. Two years later, at the 2019 World Pool Masters – a field made up of previous winners – Alcaide once again won the event beating Alexander Kazakis in the final 9–8. He came back from down 0–5 against Kazakis and hit a full table shot to sink the last.
Other disciplines
In addition to nine-ball, Alcaide is an accomplished ten-ball player. At the 2009 WPA World Ten-ball Championship, Alcaide reached the knockout rounds before defeating Antonio Gabica 9–8, Chao Fong-pang 9–5, Dennis Orcollo and Darren Appleton to reach the semi-finals, before losing to Lee Vann Corteza 9–7, after leading 7–6. Alcaide repeated this performance, losing only to eventual winner Dennis Orcollo and win the bronze medal at the 2011 WPA World Eight-ball Championship. In the match for third place, he won against Darren Appleton 9–2. At the 2015 WPA World Ten-ball Championship, Alcaide reached the knockout round, defeating Francisco Bustamante 11–9, Chang Jung-lin 11–8, Mieszko Fortuński 11–7 and Johann Chua 11–9 to reach a third world championship semi-final. In this semi-final, Alcaide once again lost, this time to Carlo Biado 2–11. He won one event on the Predator International ten-ball Tour, at the 2009 Portugal Open. Alcaide is a two-time Euro Tour champion, having won both the and 2016 Treviso Open, reaching the final on three other occasions, and the semi-final on six occasions. In March 2019, Alcaide competed in a professional snooker ranking event when he took part in the 2019 Gibraltar Open after successfully qualifying, where he lost 1–4 to David Gilbert in the first round. Alcaide has represented Spain at the World Cup of Pool on nine occasions, alongside partner Francisco Sánchez Ruíz, but only passed the first round on three occasions. Alcaide is a several time European Pool Championships winner, having won the Straight pool championship in 2010, eight-ball in 2013 and the ten-ball event twice, in 2014 and 2016.
