CAAB spokesman Mohammad Sohel Kamruzzaman told bdnews24.com on Saturday that they have extended the ban by a week.
Cargo flights will operate normally, he added.
Bangladesh and most other countries have already put unprecedented travel curbs to battle the pandemic.
Bangladesh has suspended public transport and closed offices for 10 days until Apr 4 to keep people at home as part of efforts to stem the outbreak. Schools and other educational institutions are closed until Apr 9.
Besides Europe, Bangladesh suspended air connectivity with India, Saudi Arabia, Qatar, Bahrain, Kuwait, the UAE, Turkey, Malaysia, Oman and Singapore on Mar 21.
Out of the rest of the flights, those to and from Thailand also stopped.
Now, some flights to and from China are still operating, officials said.