In a recent paper by D. Shakhmatov and J. Sp\v{e}v\'ak [Group-valued
continuous functions with the topology of pointwise convergence, Topology and
its Applications (2009), doi:10.1016/j.topol.2009.06.022] the concept of a
${\rm TAP}$ group is introduced and it is shown in particular that the ${\rm
NSS}$ groups are ${\rm TAP}$. We prove that conversely, the Weil complete
metrizable ${\rm TAP}$ groups are ${\rm NSS}$. We define also the narrower
class of ${\rm STAP}$ groups, show that the ${\rm NSS}$ groups are if fact
${\rm STAP}$ and that the converse statement is true in metrizable case.