AFP reports that the as yet unnamed financial institution could replace Emirates as PSG's main shirt sponsor, with the existing commercial deal generating only 3.5m euros per season.
However, the possible new deal, disclosed to AFP by sources within the French football authorities, could net the Ligue 1 side up to 400m euros over four seasons.
Such a commercial deal would leave PSG far better equipped to conform with UEFA's Financial Fair Play regulations which are designed to ensure that clubs do not spend more than they earn.
PSG have spent an estimated 250m euros on transfers since being taken over by Qatar Sports Investments in the summer of 2011 and it appears at present that they will struggle to fit within UEFA's guidelines.
Bringing in 100m euros per season would be a great assistance in this regard, though UEFA has said that any such contracts will have to pass a "fair value" test ensuring that rich owners cannot simply bypass FFP with deals that far exceed market value.
AFP also reports that prospective investors are seeking to attach their name to the Parc des Princes stadium in some way.
In a statement to the news agency, PSG said they had "no comment to make on any contract ... we will give details about our contracts as and when they're signed".
PSG currently have a sponsorship deal with Qatar National Bank that gives the company brand placement at Parc des Princes and on the club's website.