In this paper we report the results of a $gamma$-ray study of IceCubes extraterrestrial neutrino candidates detected as track-like events. Using 70 months of Fermi-LAT observations, a likelihood analysis of all $1-300$ GeV photons within 5 degrees of
the track-like neutrino candidates origin was undertaken, to search for spatially coincident $gamma$-ray emission. One of IceCubes HESE track events was found to be spatially coincident with a $gamma$-ray bright active galactic nucleus (AGN), PKS 0723-008. We find however, that the chance probability for Fermi-LAT detected AGN to be spatially coincident with a single HESE track-like event is high ($sim37$%). We therefore find no evidence of $gamma$-ray emission associated with the detection of IceCubes HESE track-like neutrino candidates. Upper limits were calculated in the energy range of $1-300$ GeV, assuming a point source origin for the neutrino events considered. The implications for the non-detection of $gamma$-ray emission from the source of the HESE track-like events are briefly discussed. The large time period analysed in our study did however, reveal two new $gamma$-ray point sources. With a flux of ($1.28 pm 0.08$) $times 10^{-9}$ photons cm$^{-2}$ s$^{-1}$, in the $1-300$ GeV energy range, and an associated TS value of 220.6, one of these new point sources is positionally coincident with the AGN PKS 1346-112. The other point source has a $1-300$ GeV flux of ($7.95 pm 1.23$) $times 10^{-10}$ photons cm$^{-2}$ s$^{-1}$ and an associated TS value of 92.4. This new point source is spatially coincident with the radio source NVSS J072534+021645 suggesting that it too is an AGN.
