He joined Sheffield Wednesday on a free transfer in January 2020 following a trial period at the club.[4][5] He was named in the Sheffield Wednesday starting line-up for his debut on 9 January 2021 in an FA Cup third round match away to Exeter City.[6] A one year option was activated in his contract on 12 May 2021, keeping him at the club until the summer of 2022.[7] On 13 August 2021, he joined Gloucester City on a one-mouth loan deal, with the possibility to extend.[8][9] On 13 September, Galvin would sign a new deal at Sheffield Wednesday until the summer of 2023, and remain on loan with Gloucester City until January 2022.[10]
On 13 September 2022, Galvin joined Maidstone United on an initial two month loan spell.[11] He would win the player-of-the-month award for October during his loan spell.[12] His loan spell was extended further on the 11 November and 16 December by additional months.[13][14] It was confirmed on 13 January 2023 that his loan would be until the end of the season.[15] Following Sheffield Wednesday promotion back to the EFL Championship it was confirmed that Galvin would be released following the end of his contract.[16]
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