He moved to Villarreal CF in 2004, again to take over the youth sides while also working as an analyst for the first team, before joining Atlético Madrid in 2006.
[2] In 2009, Suay returned to his native region to work as general manager of CF Torre Levante.
On 5 December 2013, he moved abroad and joined Colombian side América de Cali as their sporting director.
[3] On 22 October 2014, Suay was named interim manager of América, replacing Jhon Jairo López.
[4] In June 2015, he moved to Envigado as their sporting director,[5] while also working as an assistant to manager Juan Carlos Sánchez.