Starting First Engine
Required action depends on Company SOPs and also dependant on how low are the N1,N2 and N3 readings. No specific numbers are available in any AMM but the start can be continued but being very very watchfull as long as the EGT readings do not overtake the N2 or N3 readings accordingly.(2 spool or 3 spool engine).
Chances of a Tailpipe fire are minimal if you cut off the fuel quickly enough.
As mentioned before FADEC equipped engines should handle the situation, but as with anything automated you still have to be aware.