Reds boss maintains that the Italian could be in line for a return to Merseyside, having impressed for Serie A side on a season-long loan, and tips him to be a "valuable asset"
The Italian joined the club during Rafael Benitez's reign in 2009 as a replacement for Xabi Alonso, who had left for Real Madrid.
But the former Roma midfielder failed to recover quickly from an ankle injury that he had been carrying since his time at the Italian capital, and struggled to make much of an impact on Merseyside.
The appointment of Roy Hodgson last summer saw the 26-year-old being sent out on a season-long loan to Juventus, with the Turin-based club having the option of a permanent transfer this summer.
However, it is believed that Juve are not keen on coughing up about £14 million for the midfielder's services, while Dalglish has maintained that the Reds would be happy to have Aquilani back next season.
"When people talk about next season, I’m surprised they don’t give Alberto a mention," he said. "Everyone seems to have forgotten about him.
"I know he has done really well at Juventus this season. When the loan finishes at the end of the season, he reverts back to being a Liverpool player.
"Nothing is cast in stone and he could be coming back to play for Liverpool. He could be a valuable asset here next season. He’s still our player."
Dalglish added: "He certainly didn’t have the best of luck last season.
"At times he did really well and at other times he didn’t do quite so well but you can say that about most players. What I do know is that he’s had a fantastic season at Juventus."