The court noted that despite repeated orders, Mallya did not appear in the court and it was inevitable for the state machinery to intervene and ensure his presence.
The CBI argued before the high court that each day Tyagi remained out on bail would lead to its line of investigation being "exposed" and "hampered" and the evidence could also be destroyed.
While one NBW was issued in a 2012 cheque bounce case following Mallya's non-appearance, another was in a case of allegedly evading summons in a FERA violation matter.
The former finance minister's only child was arrested at Chennai airport.