OpenGL not found under wine

Question

I am running Fedora 27 and I have installed wine from repos: wine-3.16 (Staging). My laptop is a dual-graphics one, I have bumblebee running fine (works in native linux programs).

00:02.0 VGA compatible controller: Intel Corporation 4th Gen Core Processor Integrated Graphics Controller (rev 06)
01:00.0 VGA compatible controller: NVIDIA Corporation GK107GLM [Quadro K1100M] (rev a1)

glxinfo works on both integrated:

OpenGL renderer string: Mesa DRI Intel(R) Haswell Mobile 
OpenGL core profile version string: 4.5 (Core Profile) Mesa 17.3.9

and dedicated GPU:

OpenGL renderer string: Quadro K1100M/PCIe/SSE2
OpenGL core profile version string: 4.6.0 NVIDIA 390.77

glxgears is also fine.

Now, I am trying to run program using OpenGL in wine and I fail miserably:

> wine dxdiag
000b:fixme:winediag:start_process Wine Staging 3.16 is a testing version containing experimental patches.
000b:fixme:winediag:start_process Please mention your exact version when filing bug reports on winehq.org.
0009:fixme:ole:CoInitializeSecurity ((nil),-1,(nil),(nil),1,3,(nil),0,(nil)) - stub!
0009:fixme:wbemprox:client_security_SetBlanket 0x7c3ff918, 0x14af00, 10, 0, (null), 3, 3, (nil), 0x00000000
0009:fixme:wbemprox:client_security_Release 0x7c3ff918
0009:fixme:wbemprox:enum_class_object_Next timeout not supported
0009:fixme:wbemprox:wbem_services_CreateInstanceEnum unsupported flags 0x00000030
0009:fixme:dsound:IKsPrivatePropertySetImpl_Get unsupported property: {f2957840-260c-11d1-a4d8-00c04fc28aca}
0009:fixme:setupapi:CM_Get_Child 0x33e908 0x00000000 0x00000000: stub
0009:fixme:setupapi:CM_Open_DevNode_Key 0x00000000 0x00020019 0x00000000 0x00000001 0x33e8fc 0x00000001 : stub
0009:fixme:dsound:IKsPrivatePropertySetImpl_Get unsupported property: {1aeaa606-35f0-11d1-b161-00c04fc28aca}
0009:fixme:dsound:IKsPrivatePropertySetImpl_Get unsupported property: {1aeaa606-35f0-11d1-b161-00c04fc28aca}
X Error of failed request:  BadValue (integer parameter out of range for operation)
  Major opcode of failed request:  154 (GLX)
  Minor opcode of failed request:  3 (X_GLXCreateContext)
  Value in failed request:  0x0
  Serial number of failed request:  1154
  Current serial number in output stream:  1155

Googling around told me that I don't have 32bit OpenGL libs around, but that does not seem to be the case: I've installed mesa-libGL.i686 and couple of others that seemed to be relevant and the problem persists.

Thanks for suggestions.

EDIT: Just to show that libGL should be detected:

> wine --check-libs
libcairo.so.2: /lib/libcairo.so.2
libcapi20.so.3: /lib/libcapi20.so.3
libcups.so.2: /lib/libcups.so.2
libdbus-1.so.3: /lib/libdbus-1.so.3
libfontconfig.so.1: /lib/libfontconfig.so.1
libfreetype.so.6: /lib/libfreetype.so.6
libGL.so.1: /lib/libGL.so.1
libgnutls.so.30: /lib/libgnutls.so.30
libgobject-2.0.so.0: /lib/libgobject-2.0.so.0
libgsm.so.1: /lib/libgsm.so.1
libgtk-3.so.0: /lib/libgtk-3.so.0
libjpeg.so.62: /lib/libjpeg.so.62
libncurses.so.6: /lib/libncurses.so.6
libnetapi.so: missing
libodbc.so.2: /lib/libodbc.so.2
libOSMesa.so.8: /lib/libOSMesa.so.8
libpcap.so.1: /lib/libpcap.so.1
libpng16.so.16: /lib/libpng16.so.16
libsane.so.1: /lib/libsane.so.1
libtiff.so.5: /lib/libtiff.so.5
libv4l1.so.0: /lib/libv4l1.so.0
libva.so.1: /lib/libva.so.1
libva-drm.so.1: /lib/libva-drm.so.1
libva-x11.so.1: /lib/libva-x11.so.1
libX11.so.6: /lib/libX11.so.6
libXcomposite.so.1: /lib/libXcomposite.so.1
libXcursor.so.1: /lib/libXcursor.so.1
libXext.so.6: /lib/libXext.so.6
libXi.so.6: /lib/libXi.so.6
libXinerama.so.1: /lib/libXinerama.so.1
libXrandr.so.2: /lib/libXrandr.so.2
libXrender.so.1: /lib/libXrender.so.1
libxslt.so.1: missing
libXxf86vm.so.1: /lib/libXxf86vm.so.1