Born in
Madrid, Monroy signed with
Atlético Madrid in 2005 from
neighbouring club
RSD Alcalá. He could only represent the
C and
B teams over a four-year spell, the latter in the
Segunda División B. From
2009 to
2011, Monroy continued to compete in division three, with
UD Logroñés. He was rarely played during his spell, mainly due to injuries. Monroy's first top-flight experience occurred in
2011–12, with
FC Ceahlăul Piatra Neamț in
Romania. In the
following campaign he appeared in 28
Liga I matches and scored his first goal as a professional, in a 3–0 win against
CS Concordia Chiajna. In January 2014, Monroy transferred to fellow top-flight side
CFR Cluj for €40,000. That November, he chose to terminate his contract over unpaid wages, and the following February he signed with
Moldovan National Division's
FC Sheriff Tiraspol. After two seasons with
Maccabi Petah Tikva F.C. of the
Israeli Premier League, Monroy returned to Romania in January 2018, signing for
FC Dinamo București. In the following years, he represented in quick succession
FC Dunărea Călărași (Romanian top division),
Internacional de Madrid (Spanish third tier) and
Jamshedpur FC (
Indian Super League). Monroy returned to the Spanish lower leagues and Alcalá in March 2022, aged 34. ==Career statistics==