He scored his only two goals as a professional in the country on 22 December 2002 and 14 June 2003, respectively against Levante UD (1–1) and CD Numancia (1–0 away win);[6][7] he appeared just three times in 2003–04, ended with relegation.

[17] Having spent four years with Santa Coloma, Lima signed with Inter Club d'Escaldes in August 2018,[18] winning their first league in history in 2019–20 and repeating the feat the next two campaigns.

[19] Lima made his debut for Andorra aged 17 years and 6 months, in the country's second ever game on 22 June 1997, scoring in a 4–1 friendly defeat in Estonia, becoming their youngest player and goalscorer.

On 9 September 2014, in Andorra's first match of the UEFA Euro 2016 qualification phase, he netted a sixth-minute penalty to give the side a 1–0 lead over Wales, but in an eventual 1–2 home defeat.

[26] On 3 June 2021, Lima became just the third European footballer (after Billy Meredith and Jari Litmanen) to be capped in four different decades when playing in a friendly defeat to Republic of Ireland.

[27] On 10 June 2022, after featuring five minutes of the 2–1 victory over Liechtenstein in a UEFA Nations League fixture, he became at 41 years and 6 months Andorra's oldest player ever, breaking Juli Sánchez's record.

[31] He retired from the national team after a Euro 2024 qualifier against Switzerland on 12 September 2023; he was substituted after 23 minutes to a standing ovation by both sets of supporters and replaced by Ricard Fernández, a player born two years into his international career.