It sounds to me (and I'm no master mechanic genius) like it's leaking from a hose or valve or fitting in your fuel supply line. Mine will squirt out of the carb overflow relief vent sometimes if my gas line is heated from a hot engine. I have it routed so it goes out to the side, but it could exit wherever the vent hose ended or around the carb if my hose was missing.
It's not likely that it's coming from inside the combustion chamber, so that leaves only an external leak. Let everything cool down, then turn on your fuel flow switch and feel around, and look, at all the area above where the gas is. If you have to start your engine, you will have a moment or two while you can still feel around before the engine gets too hot to touch.
What year, make & model? If this is a carbureted bike you may have a sticking float. After engine shutdown fuel from the bowl or overflow can flow into the intake manifold, and may flow into combustion chamber and gravity will take it out, somewhere.
if fluid can leak out exhaust should be able too also, at least until the engine heats up at which point it may self-seal. Do you hear an exhaust leak on startup? Can you feel one?
You want to fix this before it turns into a Viking funeral...
It's a 2002 Suzuki Freewind XF 650 It is carburated, and now will not start. I've had lots of problems with it not starting, and usually need to adjust the valve clearance, which never stays in adjustment. I can't really see where the leak is coming from, other tham it appears to be coming from inside the motor, and running out down the outside of the exhaust pipe. When I try to start it, I smell the gas pretty strong, like it's flooding. You think the float is stuck? I found a puddle of gas under it the other morning, and it was dripping out pretty fast. I actually thought someone had pulled the fuel hose off to steal gas, and didn't get it back on correctly after filling their container......I turned off the fuel supply switch, and it stopped dripping. Later, I went to start it (switch on, of course) and turns but won't even cough, and then I see the fuel running down the exhaust pipe.
I've read in some places that if you can't find a leak...get some talcum powder, make sure the area is dry, spread the powder around (lightly) then do what ever it is that makes it leak (turn on the gas flow?) then look for the wet powder....it should leave a trail that you can follow, even if it drips (start at the highest point you can see in the area you believe the leak to be)