The 22-year-old, arrested in Miami last week after an incident at a hotel, was omitted from the squad after a dispute.
Tomic had claimed Australian tennis's governing body did not support him.
But Tennis Australia want to set up a meeting to "address" issues and then "welcome him back into Davis Cup".
Tennis Australia president Steve Healy said: "We think Tomic's criticisms are unjustified - he needs to hear that. He needs to get some detail and we want to bring him back into the fold.
"I think the important thing to understand is he's had fantastic support from Tennis Australia and we want him to understand and appreciate that and then welcome him back into Davis Cup."
