Abalo signed his first professional contract at his hometown club
US Ivry Handball in 2005. In his first season the team finished fourth in the top French league and reached the Cup final. In the 2006–07 season he won the French league. He was selected for the French league all star team as the right wing in 2005, 2006 and 2007. He joined Spanish side
BM Ciudad Real in 2008 after originally planning to join them in 2007. Here he won the Spanish championship and
EHF Champions League in 2009, and the Spanish championship in 2010. In 2010-2011 he had a less successful season, where the team only won the
Copa del Rey. The following summer he was rumored to join
THW Kiel in Germany, because Ciudad Real had economic issues. Instead he stayed and transferred with the team to
Atlético Madrid. In 2012 he returned to France and joined
Paris Saint-Germain. Here he won the French league in 2013 and every season from 2015 to 2020, and the French cup in 2014, 2015 and 2018. In 2020 he announced his retirement from handball after the
2020 Olympics, but reconsidered when the Olympics where postponed until 2021. But since PSG had already found a replacement for him in
Ferran Solé, Abalo had to find a new club. Therefore, he joined Norwegian team
Elverum Håndball. Here he won the 2020 Norwegian cup and the 2021 Norwegian championship. After the
2021 World Championship in Egypt he could not return to Norway due to
COVID-19 restrictions and only participated in the Champions League matches. In September 2021 he joined Japanese side Zeekstar Tokyo. He retired in 2023. ==National team==