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We model the $z \geq 6.6$ Ly$\alpha$ luminosity function to estimate thenumber of lensed high$-z$ Ly$\alpha$ emitters that may be detected by theEuclid Deep Survey. To span the whole range of possible predictions we exploittwo Ly$\alpha$ luminosity function models and two strong gravitational lensingmodels from the literature. We show that the planned Euclid Deep Surveyobserving 40 deg$^2$ over the 920-1850 nm wavelength range down to a flux limitof $F_{lim}=5\times10^{-17}\,$erg s$^{-1}\,$cm$^{-2}$ will enable us to findbetween $\sim 0.85$ and $\sim 1.82$ deg$^{-2}$ lensed Ly$\alpha$ emitters at $z\geq 6.6$ depending on the adopted Ly$\alpha$ luminosity function and stronggravitational lensing model. The obvious [OII], [OIII] and H$\beta$contaminants of the Ly$\alpha$ lensed population will be identified with thehelp of Euclid's spectral resolving power, while the SKA will enable theidentification of the interloper population of H$\alpha$ emitters. By combiningEuclid and the SKA, we will thus be able to identify, for the first time, asample of $\sim 34$ to $\sim 73$ lensed Ly$\alpha$ emitters at $z \geq 6.6$.

Finding bright $z \geq 6.6$ Lyman-$\alpha$ emitters with lensing: prospects for Euclid