Abroad, he spent three years with Olympiacos where he won the Super League Greece in three consecutive seasons, and also played in Portugal with Benfica and England with West Ham United.

An Atlético Madrid youth graduate, Madrid-born Roberto played mainly for the reserves, only receiving the occasional call-up due to suspensions or injuries.

[8][9] As first-choice Sergio Asenjo was summoned for the 2009 FIFA U-20 World Cup, Roberto was promoted to the starting XI,[10] his first game being a 5–2 loss at FC Barcelona on 19 September.

[15][16] In his first three official matches – the first against FC Porto in the season's Supertaça Cândido de Oliveira – his performances were poor overall, as the Lisbon club suffered three defeats and he conceded six goals; he was benched for the third Primeira Liga game of the season, at home against Vitória de Setúbal, but had to be brought in after Júlio César was sent off for a foul in the box at the 20-minute mark, and saved the ensuing penalty from Hugo Leal in a 3–0 win.

[21][22] Roberto returned to Atlético Madrid on 26 July 2013, signing a four-year contract after an arrangement with Benfica and being immediately loaned to Greek side Olympiacos FC.

[29] Roberto saved several shots in a 1–0 home win over Juventus FC in the Champions League on 22 October 2014,[30] but his team eventually did not progress from the group stage.

[36] His maiden Premier League appearance took place on 28 September, when he replaced the injured Łukasz Fabiański 34 minutes into an eventual 2–2 away draw to AFC Bournemouth.

[47][48] He made his debut on 20 September in a 2–0 loss at Real Betis after Jordi Masip tested positive for COVID-19,[49] and played roughly a third of the season's fixtures despite contracting the same virus in March.