The offer was turned down because it was not high enough.
But "If the overall package is right, we wouldn't be closed to it," BayernLB chief executive Johannes-Joerg Riegler said last week.
Earlier, BayernLB had been seeking $400 million, but F1 business journalist Christian Sylt said a spokesman confirmed the bank wants an amount similar to the $100m criminal suit settlement.
"Perhaps the $25m doesn't match with this settlement structure and perhaps somebody has to think about it because the state prosecutors in Germany got $100m," said the bank spokesman.
Ecclestone's lawyer says no.
"We are not prepared to make a new offer," Sven Thomas, describing the original proposal as "sensible", told Sylt and the Telegraph newspaper.
"BayernLB have rejected the offer, as expected. At the moment we don't do anything. We wait to see what they are going to do.
"If they try to sue, they shall have no chance at all. I don't think they will try to sue," Ecclestone's lawyer added.