Rumours swirled again over the weekend after Neymar posted pictures of himself and Barca new-boy Arthur on Instagram, walking the streets of the Catalan city.
However, speaking to 'El Mati de Catalunya', Bartomeu dismissed any talk of a comeback for the world's most expensive player, now at PSG.
"Neymar left and is not expected to return to Barca, there are no plans to bring him back," he said.
"I didn't get any call from Neymar's representatives. He decided on his future, he paid his clause and he went to PSG. We did not appreciate the way in which he left..
"When a player joins Barcelona it is because everyone wants it. It is not only my decision.
"No one is scheduled to be signed in January, unless we are told something that would see a change in plans.
"This is a smaller squad because there are B players who have given strong signals that they can be on the first team."