The New Zealand internationalist signed for the Cherries on a four-year deal last summer from Wellington Phoenix and, following the relaxation of stringent rules preventing A-League teams in multi-club groups from registering players owned by the same group, returned to the Australian top flight with expansion side Auckland FC, owned by the Black Knights.
Paulsen, 22, has been an ever-present for Steve Corica's side, who currently top the A-League. The Auckland-born 'keeper has nine clean sheets from 20 appearances.
Hibs are likely to lose two goalkeepers this summer, with loanee Josef Bursik due to return to Club Brugge and Max Boruc coming to the end of his contract.
Paulsen has been mentioned as a potential loan signing for [David Gray's](https://www.hibsobserver.co.uk/news/24403702.david-gray-news-interviews-updates-manager/?rel=cl) side to join Jordan Smith, who recently signed a new contract, as the first-team 'keepers for next season.
Speaking on [The Athletic FC podcast](https://open.spotify.com/episode/5YhiO8QIeh5W9BqBn0Z0EG?si=47c5bbce0d6d40a7) to discuss multi-club ownership in football, Bezbatchenko said: "There has to be a mechanism in which information is shared. For us, it starts with scouting and recruitment, because it's about the players and putting them into the best position possible.
"We have brought on board individuals to help with pooling the players so that we can satisfy the needs of all the clubs across the group. At the end of the day, we're trying to be a resource and to help these clubs be better, and that starts with scouting recruitment.
"The layer above that is the data and analytics side: how are we working with third-party service providers or using our own data to create more information on player recruitment? That then leads to squad management: How are we sharing materials to communicate leading into a transfer window; what are the needs of the club?
"We know that evolves daily leading into, and certainly during, the window. Very quickly, a player could become available and Hibs will want to acquire that player, which could have a knock-on effect on their squad and certainly the plans within our group.
"If we're looking at a player at Bournemouth who maybe needs to be loaned out, and we feel that Hibs is an opportunity to put that player into a good environment, then that could change as Hibs fills out their squad.
"One good example would be Alex Paulsen, who's currently Auckland's goalkeeper. The decision now for us is, 'Would it make sense to move him within the group?' And Hibs could be a good location for him."
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Bezbatchenko, who spoke at the recent AGM to confirm that the Black Knights were satisfied with their current shareholding in the club, revealed that Gray is due to head down to Bournemouth to take in a training session with Andoni Iraola.
"There's constant communication, there are weekly meetings, there are visits. In a couple of weeks, Hibs head coach David Gray is going to come down and take in a session at Bournemouth. I think that's important to have it consistent and uniform - you need to have consistent values across the group," the former Columbus Crew general manager explained.
"Everybody needs to know what the needs are of the other clubs so that the sporting directors can speak. It's not just myself and my colleagues who are doing the communication - we want the sporting directors to talk to each other daily so that trust builds across the group.
"You've got the scouting and recruitment, data and analytics, the squad management piece, coaching analysis, and our head of performances are speaking frequently, and those things all come together on a weekly basis to formulate the interworkings of Black Knight."