According to the report, Halladay rejoined the Phillies prior to their game Wednesday night against the New York Mets in New York and received the second opinion from team doctor David Altchek.
A team official told the Inquirer that Halladay plans to speak publicly about the situation after team doctor Michael Ciccotti, head athletic trainer Scott Sheridan and Altchek confer.
The Phillies told the Inquirer they had no problems with Halladay seeking the second opinion.
"We encourage it," assistant general manager Scott Proefrock said before Wednesday night's game. "It just provides further piece of mind."
Halladay was placed on the 15-day disabled list Tuesday, two days after he lasted just two innings in a start against the St. Louis Cardinals.
Proefrock said Tuesday that tests done on Halladay's shoulder indicated he didn't need surgery, but he would be shut down for a minimum of three weeks before working toward rejoining the rotation.
Information from The Associated Press was used in this report.