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Among about 1.8 million Gaia DR2 high proper motion stars with $\mu>60$mas/yr and moderately significant parallaxes ($\varpi>3\sigma_{\varpi}$), wehave selected 109 high-speed star candidates with Galactic rest frametangential velocities (corrected for solar motion) $v_{t,g}$$>$700 km/s, wellabove the local Galactic escape velocity. After applying various Gaia DR2astrometric quality criteria, only 39 candidates remained, including all threehypervelocity runaway white dwarfs (HVR WDs) found by Shen et al. (2018) but noadditional such candidates (falling in the same region of the colour-magnitudediagram). Considering only candidates with highly significant parallaxes($\varpi>5\sigma_{\varpi}$) as reliable extreme tangential velocity candidates(cf. Bromley et al. 2018), our final list consists of six objects withparallaxes of 0.17 mas $\lesssim \varpi \lesssim$ 1.05 mas and tangentialvelocities of 730 km/s $\lesssim v_{t,g} \lesssim$ 1600 km/s, including twocandidates of Bromley et al. (2018). Only one of the three HVR WDs of Shen etal. (2018), D6-2 (= NLTT 51732), falls in that list but can be considered adoubtful high-speed candidate because of its relatively large astrometricquality parameters. One of the three new extreme velocity candidates in ourlist, Gaia DR2 6097052289696317952, is relatively bright ($G\approx$13.5 mag)and blue $BP$$-$$RP$$\approx$0.6 mag and has the smallest parallax and highesttangential velocity. Radial velocity measurements are needed to clarify whetherthese high-speed candidates are unbound to the Galaxy.

The nearest extreme velocity stars among Gaia DR2 high proper motion stars