Reilly recorded an assist in Monday's 5-3 loss to Carolina.
Reilly scored a goal on a team-high six shots in Thursday's 5-1 victory over Arizona.
The Islanders claimed Reilly off waivers from Florida on Saturday.
The Panthers placed Reilly on waivers Friday, according to Elliotte Friedman of Sportsnet.
Reilly has been a healthy scratch in Florida's first seven games of the 2023-24 season.
Reilly signed a one-year, $1 million deal with the Panthers on Saturday, per Darren Dreger of TSN.
Reilly will be bought out by the Bruins on Friday after he was placed on unconditional waivers, Chris Johnston of TSN reports.
Reilly was put on waivers by Boston on Wednesday.
Reilly was recalled from the minors Monday, per the AHL transaction page.
Reilly was demoted to AHL Providence on Friday, per CapFriendly.