The 31-year-old right back is in the last year of his deal, and has been linked with French club Paris Saint-Germain.
Alves arrived on Tuesday to speak with Enrique, ''and after we meet we can decide if I continue or not. It's not just up to me. My idea is to fulfill the contract I signed but it has to be of mutual accord.''
Since Alves' transfer from Sevilla in 2008, Barcelona has won 16 trophies including a pair of Champions Leagues and four domestic titles.
At the World Cup, Alves was relegated to substitute in the knockout stages after starting for Brazil in the pool stage.