  Observations of transient gravitational wave (GW) events with non-negligible
orbital eccentricity can be highly rewarding from astrophysical considerations.
Ready-to-use fully analytic frequency domain inspiral GW templates are crucial
ingredients to construct eccentric inspiral-merger-ringdown waveform families,
required for the detection of such GW events. It turns out that a fully
analytic, post-Newtonian (PN) accurate frequency domain inspiral template
family, which uses certain post-circular approximation, may only be suitable to
model events with initial eccentricities $e_0 \leq 0.2$.We here explore the
possibility of combining Post-Circular and Pad\'e approximations to obtain
fully analytic frequency domain eccentric inspiral templates. The resulting
1PN-accurate approximant is capable of faithfully capturing eccentric inspirals
having $e_0 \leq 0.6$ while employing our 1PN extension of a frequency domain
template family that does not use post-circular approximation, detailed in
Moore, B., et al.\ 2018, Classical and Quantum Gravity, 35, 235006. We also
discuss subtleties that arise while combining post-circular and Pad\'e
approximations to obtain higher PN order templates for eccentric inspirals.
