The four-time Grammy winner shared the news on her Instagram account, saying her concert at Lima's Estadio Nacional football stadium would be held on Monday night.
Shakira, 48, arrived in Peru on Friday evening and was scheduled to perform on Sunday and Monday.
However, she cancelled the first of her two shows on Sunday, informing fans on X that she had been hospitalised due to an abdominal condition.
The singer kicked off her world tour last week with concerts in Rio de Janeiro and Sao Paulo, Brazil.
After her performance in Peru, Shakira's tour will continue with scheduled dates in Colombia, Chile, Mexico, Argentina and more than a dozen US cities, including Orlando, Houston, Detroit, Boston, New York and San Francisco.
Shakira wrote on X that her team was working on a new date for the show that was cancelled on Sunday.
She also posted to thank her fans for their messages of support, saying on X that "you give me so much strength!"
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