Hi Stefano,
Welcome to the forums.
If the ASIO driver is relatively new compared to your 10 year old version of BIAB, it's possible that there could be issues. Are your other programs that work with this driver as old as your version of BIAB?
ASIO is highly individual when it comes to drivers and what works in one case does not always work in another case. Because of this, it would be difficult for BIAB developers to write program code in 2009 that can anticipate what might be happening in 2019.
Do you need to use ASIO with BIAB? If not, use MME as your audio driver. MME will work with stability (the output sound will be identical). (It's what I use and have been doing so since 2006.)
The advantage of ASIO relates to reducing lag time for recording and for synch'ing an external instrument to the program. If neither of these situations apply to you then there is no need for you to use ASIO.
ASIO4ALL is a freeware driver that imitates ASIO and works comfortably with BIAB. If you need ASIO, this would be worth trying.
Hope this helps,
Noel