  It is known that ultrafast laser pulses can be used to deterministically
switch magnetisation and create skyrmions, however the deterministic creation
of a single N\'eel skyrmion after ultrafast demagnetisation remains an open
question. Here we show domain wall skyrmions also emerge in systems with broken
inversion symmetry after exposure to an ultrafast laser pulse, carrying an
integer topological charge. Whilst domain wall skyrmions do not appear in the
relaxed state due to quick thermal decay following an Arrhenius law, they play
a key role in controlling the final skyrmion population through annihilations
with skyrmions of opposite topological charge, with the resultant skyrmion
states following a Poisson distribution. Using single-shot linearly polarised
laser pulses, as well as a train of circularly polarised laser pulses, we show
that when a high degree of disorder is created, the possibility of nucleating a
single N\'eel skyrmion is accompanied by the possibility of nucleating a
skyrmion with domain wall skyrmion pair, which results in a self-annihilation
collapse.
