Take a look at this amazing (long) Christianity Today piece about a very significant movement of Persian Muslims who are becoming Christians in Germany.
"These refugees are taking unimaginable risks to live their Christian faith," says Martens, who ministers to one of Germany's most dynamic parishes, which has grown from 200 to over 900 members in 20 years. He views the conversion of a growing number of Iranians in Germany as evidence of God's sense of irony. "Imagine! Of all places, God chooses eastern Germany, one of the world's most godless regions, as the stage for a spiritual awakening among Persians," Martens exclaims. According to a recent University of Chicago study, only 13 percent of all residents of the formerly Communist part of Germany attest belief in God."
But the same phenomena is happening all over Germany, primarily among educated Persian emmigrants. It is estimated that as many as 500 - 1000 Iranian immigrants a year are being baptized, a number which exceeds Germans who are going the other way and becoming Muslim. Why?
"Some German clerics speak of a divinely scripted drama that includes countless reports of Muslims having visions of Jesus. According to Martens and others interviewed for this article, most of these appearances follow a pattern reported by converts throughout the Islamic world: Muslims see a figure of light, sometimes bearing the features of Christ, sometimes not. But they instantly know who he is. He always makes it clear that he is Jesus of the Bible, not Isa of the Qur'an, and he directs them to specific pastors, priests, congregations, or house churches, where they later hear the gospel."
And here's a note of particular interest to Catholics:
. . . only "free churches," such as the Baptists and independent Lutherans, and semi-autonomous congregations like Götz's, joyfully report conversions. "We know that faithful ministers of the state-related churches also baptize ex-Muslims, but we are left in the dark about the numbers." Albrecht Hauser, a former missionary and retired dean of the Lutheran Church of Württemberg, adds, "We are aware of faithful Catholic priests doing likewise." But, observes Schirrmacher, "The Catholics are just as hesitant to release statistics. They don't want to jeopardize interfaith dialogues."