The knockout stages of the 2013 Copa Libertadores de América were played from April 24 to July 24, 2013. A total of 16 teams competed in the knockout stages.
The winners and runners-up of each of the eight groups in the second stage qualified for the knockout stages.
The qualified teams were seeded in the knockout stages according to their results in the second stage, with the group winners seeded 1âÂÂ8, and the group runners-up seeded 9âÂÂ16.
In the knockout stages, the 16 teams played a single-elimination tournament, with the following rules:
The bracket of the knockout stages was determined by the seeding as follows:
The first legs were played on April 24âÂÂ25 and April 30âÂÂMay 2, and the second legs were played on May 8âÂÂ9 and 14âÂÂ16, 2013.
Atlético Mineiro won 6âÂÂ2 on aggregate.
Tied 2âÂÂ2 on aggregate, Santa Fe won on away goals.
Olimpia won 3âÂÂ2 on aggregate.
Boca Juniors won 2âÂÂ1 on aggregate.
Tied 2âÂÂ2 on aggregate, Newell's Old Boys won on away goals.
Fluminense won 3âÂÂ2 on aggregate.
Tied 1âÂÂ1 on aggregate, Real Garcilaso won on penalties.
Tijuana won 2âÂÂ1 on aggregate.
The first legs were played on May 22âÂÂ23, and the second legs were played on May 28âÂÂ30, 2013.
Tied 3âÂÂ3 on aggregate, Atlético Mineiro won on away goals.
Santa Fe won 5âÂÂ1 on aggregate.
Olimpia won 2âÂÂ1 on aggregate.
Tied 0âÂÂ0 on aggregate, Newell's Old Boys won on penalties.
The first legs were played on July 2âÂÂ3, and the second legs were played on July 9âÂÂ10, 2013.
Tied 2âÂÂ2 on aggregate, Atlético Mineiro won on penalties.
Olimpia won 2âÂÂ1 on aggregate.
The finals were played on a home-and-away two-legged basis, with the higher-seeded team hosting the second leg. The teams tied on aggregate, the away goals rule was not used, and 30 minutes of extra time were played. A penalty shoot-out was used to determine the winner.
The first leg was played on July 17, and the second leg was played on July 24, 2013.
Tied 2âÂÂ2 on aggregate, Atlético Mineiro won on penalties.