  Consider a non-explosive positive Feller process with no negative jumps. It
is shown in this note that when infinity is an entrance boundary, in the sense
that the entrance times of the process remain bounded when the initial value
tends to infinity, the process admits a Feller extension on the compactified
state space $[0,\infty]$. Moreover, when started from infinity, the extended
Markov process on $[0,\infty]$ leaves infinity instantaneously and stays
finite, almost-surely. Arguments are adapted from a proof given by O.
Kallenberg for diffusions. We also show that the process started from $x$
converges weakly towards that started from infinity in the Skorokhod space,
when $x$ goes to infinity.
