After a disappointing 1-1 home draw with Venezuela last weekend, the Charruas managed to put in a much-improved display and are just one point behind leaders Chile.
Uruguay took the lead early in the game, Liverpool defender Sebastian Coates heading home in the 14th minute.
Fifteen minutes later Maximiliano Pereira bundled home a loose ball after Edinson Cavani's shot was parried, but Peru reduced the deficit six minutes before half-time with an own goal by Diego Godin.
Two minutes after the break Paolo Guerrero profitted from a defensive mistake to level the scores.
Substitute Cristian Rodriguez came off the bench to make it 3-2 with a header and Sebastian Eguren finished things with a counter-attack in injury-time.
Meanwhile in Quito, hosts Ecuador claimed a 1-0 over Colombia and moved to fourth in the standings.
Cristian Benitez netted the match's only goal at the Estadio Olimpico Atahualpa with a header eight minutes after half-time.
Ecuador finished the game with 10 men as Christian Noboa was sent off four minutes from time.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.