From Monergism’s website:
“Semi-Pelagianism is a Reformation-era term that came to designate a softer sort of Pelagianism that arose after the Council of Ephesus, in the sixth century. According to Semi-Pelagianism, man is not free to choose good or evil, but he is at least free to make the first move to God, to turn to him in faith, and so be given the power to choose good by God's grace. Man is not free to do good in his fallen nature, but he is at least able to believe and come to God in his own native strength.”
I’m not exactly sure what they mean by the second bolded statement (though I suspect philosophic concepts of “deadness” and total depravity are lurking, lol) but I have never heard the first bolded notion expressed that way in my non-Calvinist church/sermons. Nevertheless I most certainly agree that unless God initiates a wooing/drawing by His initiative-taking grace that no man would ever come to Christ.