Well... It actually looks like some of the pins on the FTDI board and the Pro Mini doesn't line up - this can also be seen on the Pictures.. I just looked on the official parts from Sparkfun and the connecters are exactly the same.. The way I connect it up can be seen here.
Riiiiight....but have you actually looked at the labels on the boards. 50% of Pro Minis need to be flipped over when you plug them in. The pin to look for is Vcc.