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Three generation modes on transitions from resonant 7,9Pi to metastable 7Dj levels of EuI have been determined. The Eu+He mixture laser energy parameters have been studied under excitation conditions, excluding the discharge contraction which is the main obstacle for the realization of a continuous generation mode. The generation on known self-limiting 1P1-1D2 has been estimated to become a stationary one when inserting hydrogen into the mixture of Ca and Sr vapors with inert gases. The continuous generation of 0.1 W was obtained in Ca+H2 mixture with an efficiency =0.7%. The behavior of working level populations was investigated while introducing a small amount of H2 impurity into the Ca-He mixture. Introduction of H2 reduces the working level populations by 10-20%.