I finally decided to contact Canon support, this guys were pretty kind and fast. The explanation is the following:
Quote:
The Av and TV mode function the same way in regards to flash exposure.
In these modes the metering system disregards the use of flash when
deciding shutter speed and instead regulates the flash duration to match
the ambient light shutter speed selected. Unfortunately, if the ambient
light in the room is very low then the shutter speed will be very low.
In the TV mode it will choose a wide open aperture or the aperture will
blink if it can make a properly exposed image. I hope this clears up
any confusion. I am sorry for the inconvenience.
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So it looks like the flash is not used to light the scene but to "assist" a bit in Av and Tv modes, if you really need to light up the scene you need to go to P mode (I am still learning, so I have used M mode only a few times

, I promise I will be using it more though

).
Thanks eagle17!
Enjoy photographing!