  I conducted a new search for dispersed radio pulses from the X-ray pulsar PSR
J0537$-$6910 in the Large Magellanic Cloud in a long (11.6 hr) archival 1.4 GHz
Parkes search observation. I searched dispersion measures (DMs) between 0 and
10000 pc cm$^{-3}$ and detected 49 pulses with a signal-to-noise ratio (S/N)
greater than 7 at a wide range of DMs using the HEIMDALL and FETCH pulse
detection and classification packages. All of the pulses were weak, with none
having a S/N above 8.5. There was a significant excess of pulses observed in
the DM range of the known pulsar population in the LMC, suggesting that these
pulses may originate from LMC pulsars. Three repeat pulses, each having widths
$\lesssim 1$ ms, were detected in a single DM trial of 103.412 pc cm$^{-3}$,
which is in the LMC DM range. This is unlikely to occur by chance in a single
DM trial in this search at the (marginally significant) 4.3$\sigma$ level. It
remains unclear whether any of the detected pulses in the sample are from PSR
J0537$-$6910 itself.
