The agent of Barcelona full-back defender has told Spanish publication Sport that his client is willing to consider all offers as his current contract at Camp Nou runs down.
The Daily Mirror has reported that Manchester United are among those keeping a close eye on the situation, with the Brazilian considered to be a possible short-term solution at Old Trafford.
Alves is free to speak with interested parties after entering the final six months of his deal in La Liga.
His representative claims an extended stay in Catalunya has not been ruled out, but admits no discussions have been held regarding fresh terms.
Instead, he is waiting on interest from outside of the Spanish top-flight, with Alves hoping to have several options to weigh up.
Dinorah Santa Ana told Sport: "Dani has not yet made a decision whether he wants to stay at Barcelona or leave the club. He's open to both options.
"The fact that Barcelona cannot sign any one until January 2016 does not affect our decision. That's something the club will have to deal with. If Dani receives an offer, or maybe even offers from two or three clubs, we will sit down and consider it.
"Dani Alves has always been loyal to the club throughout his career. He does not have any preference now. The only certainty he has now is that he will give his all for the team until June. We'll then see what happens.
"He is the best right back in the world, even if he did not make the World XI this year. He wants to be at a club where he feels comfortable. He does not have a bad feeling about Barcelona, but at the moment there has not been an offer for a contract renewal."
Alves has been with Barcelona since 2008, making well over 300 appearances for the club.
He has collected numerous major honours during that time, including four La Liga titles and two Champions League crowns.
A man who has been capped on 79 occasions by his country is now 31 years of age, but he remains a buccaneering full-back that could be a useful option for United in the 3-5-2 system favoured by Louis van Gaal.