  We present a theoretical framework for capturing the coalescence of a pendant
drop with a sessile drop in polymeric fluids. The framework is based on the
unification of various constitutive laws under high Weissenberg creeping flow
limit. Our results suggests that the phenomenon comes under a new regime
namely, the sub-Newtonian regime followed by the limiting case of arrested
coalescence with the arrest angle $\theta_{arrest}\propto Ec^{-1/2}$, where
$Ec$ is the Elasto-capillary number. Further, we propose a new time scale $T^*$
integrating the continuum variable $Ec$ and the macromolecular parameter $N_e$,
the entanglement density to describe the liquid neck evolution. Finally, we
validate the framework with high speed imaging experiments performed across
different molecular weights of Poly(ethylene oxide) (PEO).
