i'm not quite sure how someone can diagnose the leak is coming from the heat exchanger without visually examining it, it could be the heat exchanger but the leak could be coming from any number of different places/joints, the majority of leaks we see are not from the heat exchanger.
the majority of combis are pressurised to 1.0 bar when the boiler is not running (vaillants are 1.2 bar) when you operate the boiler the pressure will immediately rise to 1.5 bar due to the pump pressure, upon heating the pressure may rise to 2.0 bar, this is normal, if the pressure creeps up to over 3.0 bar then as already said the pressure relief valve will open up and dump the water out of the boiler, the boiler will probably then go to lock-out and need re-filling and re-setting.
you said that it took several minutes for your pressure to start rising. this has already said could be because you have not closed off the filling loop properly or it could even be a faulty filling loop and it wont close off properly (with the exception of vaillants most taps on boilers seem to be designed to never be used, use them and they leak) quick way to check that the filling loop is closed off is to unscrew it and see if its dripping still.
the main reason we see for the pressure creeping up is the expansion vessel which needs repressurising, a job for an engineer.
its very doubtful as british gas would have spotted it but we do come across a lot of boilers where the installers have not bothered to connect the pressure relief pipework to the valve (the pressure relief valve is meant to dump the water safely outdoors by running a pipe thru the wall) so if the pressure does rise over 3.0 bar and the prv opens up it dumps water all over the floor.