According to media reports, budget carrier SpiceJet on Sunday declared it is not part of the strike of private airlines and will continue its operations on August 18.
With the government cracking the whip, private airlines' strike call on August 18 appears to be losing steam.
MDLR and IndiGo Airlines have already announced they are not part of strike and would operate that day.
SpiceJet CEO Sanjay Aggarwal said he was optimistic that the talks with the government would lead to a resolution of the problems.
Spicejet sources said it was taking bookings for August 18, the day when the Federation of Indian Airlines (FIA) has given a call for suspending flight operations to protest high taxes on jet fuel and airport charges.
Regional player MDLR Airlines, which operates three aircraft to six destinations, has already written to FIA secretary general Anil Baijal that it would not join the stir.
Indigo announced on Saturday it was pulling out of the strike leaving only major players Jet Airways and Kingfisher to be in the strike mode on August 18.
State-owned Air India, which is a FIA member but has decided not to be part of the protest, meanwhile, said it was gearing up to operate additional flights on August 18 to avoid possible inconvenience to passengers. State-owned DGCA has warned of appropriate action to protect passengers' interest.
Full business class Paramount Airways has already announced they were walking out of the strike.
Barring MDLR, all others are members of the FIA.