  We propose a scheme to generate pairs of time-reversal invariant
parafermions. Our setup consists of two quantum wires with opposite Rashba spin
orbit interactions coupled to an $s$-wave superconductor, in the presence of
electron-electron interactions. The zero-energy bound states localized at the
wire ends arise from the interplay between two types of proximity induced
superconductivity: the usual intrawire superconductivity and the interwire
superconductivity due to crossed Andreev reflections. If the latter dominates,
which is the case for strong electron-electron interactions, the system
supports Kramers pair of parafermions. Moreover, the scheme can be extended to
a two-dimensional sea of time-reversal invariant parafermions.
