The Catalan club, who are working on a very tight budget, made two loan offers for Aarons.
Their first offer was a loan with an option to buy with no financial penalties depending on appearances.
Barca’s second offer was the same but with financial penalties included.
Norwich snubbed both proposals and will only entertain a loan deal if it includes an obligation to buy.
20-year-old Aarons is one of the most highly-rated young full-backs in England and has attracted major interest this summer.
As things stand, he will be playing in England’s Championship this season unless the Canaries receive a suitable offer.
Barca vs. Bayern for Dest?
Bayern Munich have had Aarons on their radar, as have another German club, Bayer Leverkusen.
Ornstein adds that Barcelona will now try to sign Sergino Dest from Ajax.
Dest could also prove a difficult target after Bayern reportedly agreed personal terms with the American.
The Bavarians had a €15m bid rejected on Tuesday but are still in talks with Ajax for 19-year-old Dest.