All the three accused had filed bail applications in the Patiala House Court.
The court will hear the bail matter on December 21.
Earlier, the CBI had moved court seeking a 10-day custody to interrogate Tyagi and the other accused in the case.
Last Friday, the CBI had arrested Tyagi, his cousin Sanjeev and lawyer Gautam Khaitan.
The Rs. 3,600-crore deal to supply 12 VVIP helicopters from AgustaWestland came under the scanner after Italian authorities claimed that the company paid bribes.
Tyagi has been accused of influencing the deal in favour of AgustaWestland during his tenure as the IAF chief, however, he has repeatedly denied the allegations.
The CBI said that they have received “incriminating documents” from Italy and Mauritius against the former IAF chief.