The two hosts have different wireless adapters: the one having problems is a Realtek Mini-PCI Express Adapter II, while the one working fine is a D-Link DWA 556.
Regarding configuring the Bridged network, I don't see it in the Virtual Network Editor. Only VMnet1 and VMnet8 are shown, no VMnet0 (see attached screenshot - it is the same thing in the host working fine).
Thank you,
Ugo