The Bairns and Caley Jags drew 2-2 on Saturday.
John Robertson thought his side deserved a penalty when Ciaran McKenna blocked Darren McCauley's effort with an out-stretched arm late on.
MATCH REPORT: Falkirk 2 Inverness 2However the Highlanders' boss did praise Falkirk's resilience and his opposite number Ray McKinnon was pleased with the performance and attitude to come back from a goal down, twice, and with his new set of players.
Nicky Hogarth: Former Graeme High pupil signs for Falkirk on loan from Premier League newcomers Nottingham Forest
McGuffie talks style of play and mentality ahead of Peterhead clash
Falkirk set to bring in goalkeeper ahead of Peterhead match
Syngenta: Finlay could be playing 'four or five' levels above the EoS second division, says boss
Bo'ness Athletic: Summer signing McVey is one to watch, says boss
HOW IT HAPPENED: Falkirk 2-2 Inverness CT matchday blogHe admitted he is also looking to add further to the squad, but one anticipated target has hit a stumbling block after partially agreeing a deal.