prathama - first; līlāya - in the pastimes; tāṅra - of Him; viśvambhara nāma - the name Viśvambhara; bhakti-rase - with the mellow of devotional service; bharila - He filled; dharila - saved; bhūta-grāma - all the living entities.

In His early pastimes He is known as Viśvambhara because He floods the world with the nectar of devotion and thus saves the living beings.