Following the sale of Rickie Lambert to Liverpool earlier this month and with Jay Rodriguez recovering from a serious knee injury, Southampton are in desperate need of a forward to shoulder some of the goal burden next season and Pelle is the man believed to be the number one target to do so.
Koeman is already familiar with the abilities of Pelle having managed the forward at Feyenoord last season. Pelle netted 23 times in 28 appearances as the Dutch side went on to finish a respectable second in Eredivisie.
The 28-year-old's performances in Holland have also attracted attention from newly promoted Leicester City, but Koeman has a close bond with his former player and it's unlikely that the Premier League newcomers stand any chance of turning Pelle's head away from a move to the south coast.
There is yet to be any official confirmation from Koeman or Southampton regarding the proposed interest in the striker, but if reports are to be believed the club have made an offer in the region of £8m to Feyenoord in the last 24 hours.
Should an agreement between the two clubs be reached then the deal looks a certainty to go ahead. With the promise of Premier League football and the prospect of being reunited with Koeman, Pelle is unlikely to require any further convincing.
The deal could also confirm the speculation surrounding the future of Pablo Osvaldo.
The striker was loaned out to Juventus for the second half of last season following his involvement in a training ground bust up with Jose Fonte and the Italian is expected be surplus to requirements at St Mary's,