The Catechism on Islam (look primarily at 841, but a larger context is necessary):
The Church and non-Christians839 "Those who have not yet received the Gospel are related to the People of God in various ways."325
The relationship of the Church with the Jewish People. When she delves into her own mystery, the Church, the People of God in the New Covenant, discovers her link with the Jewish People,326 "the first to hear the Word of God."327 The Jewish faith, unlike other non-Christian religions, is already a response to God's revelation in the Old Covenant. To the Jews "belong the sonship, the glory, the covenants, the giving of the law, the worship, and the promises; to them belong the patriarchs, and of their race, according to the flesh, is the Christ",328 "for the gifts and the call of God are irrevocable."329
840 And when one considers the future, God's People of the Old Covenant and the new People of God tend towards similar goals: expectation of the coming (or the return) of the Messiah. But one awaits the return of the Messiah who died and rose from the dead and is recognized as Lord and Son of God; the other awaits the coming of a Messiah, whose features remain hidden till the end of time; and the latter waiting is accompanied by the drama of not knowing or of misunderstanding Christ Jesus.
841 The Church's relationship with the Muslims. "The plan of salvation also includes those who acknowledge the Creator, in the first place amongst whom are the Muslims; these profess to hold the faith of Abraham, and together with us they adore the one, merciful God, mankind's judge on the last day."330
842 The Church's bond with non-Christian religions is in the first place the common origin and end of the human race:
- All nations form but one community. This is so because all stem from the one stock which God created to people the entire earth, and also because all share a common destiny, namely God. His providence, evident goodness, and saving designs extend to all against the day when the elect are gathered together in the holy city. . .331
843 The Catholic Church recognizes in other religions that search, among shadows and images, for the God who is unknown yet near since he gives life and breath and all things and wants all men to be saved. Thus, the Church considers all goodness and truth found in these religions as "a preparation for the Gospel and given by him who enlightens all men that they may at length have life."332
844 In their religious behavior, however, men also display the limits and errors that disfigure the image of God in them:
- Very often, deceived by the Evil One, men have become vain in their reasonings, and have exchanged the truth of God for a lie, and served the creature rather than the Creator. Or else, living and dying in this world without God, they are exposed to ultimate despair.333
845 To reunite all his children, scattered and led astray by sin, the Father willed to call the whole of humanity together into his Son's Church. The Church is the place where humanity must rediscover its unity and salvation. The Church is "the world reconciled." She is that bark which "in the full sail of the Lord's cross, by the breath of the Holy Spirit, navigates safely in this world." According to another image dear to the Church Fathers, she is prefigured by Noah's ark, which alone saves from the flood.334
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Father Fessio reporting on his private conversation with the Holy Father about Islam:
[...] if [Islam] radically reinterprets the Koran [...] it will be able to enter into real dialogue and live together with other religions and other kinds of cultures.
And immediately the holy father, in his beautiful calm but clear way, said, well, there's a fundamental problem with that because, he said, in the Islamic tradition, God has given His word to Mohammed, but it's an eternal word. It's not Mohammed's word. It's there for eternity the way it is. There's no possibility of adapting it or interpreting it, whereas in Christianity, and Judaism, the dynamism's completely different, that God has worked through his creatures. And so it is not just the word of God, it's the word of Isaiah, not just the word of God, but the word of Mark. He's used his human creatures, and inspired them to speak his word to the world, and therefore by establishing a church in which he gives authority to his followers to carry on the tradition and interpret it, there's an inner logic to the Christian Bible, which permits it and requires it to be adapted and applied to new situations.The interviewer then asked Fessio, "And so the pope is a pessimist about that changing, because it would require a radical reinterpretation of what the Koran is?" Fessio replied, "Yeah, which is it's impossible, because it's against the very nature of the Koran, as it's understood by Muslims."
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Father Fessio dotting the i's:
The most important clarification is that the Holy Father did not say, nor did I, that "Islam is incapable of reform" ... I made a serious error in precision when I said that the Koran "cannot be adapted or applied" and that there is "no possibility of adapting or interpreting it". This is certainly not what the Holy Father said. Of course the Koran can be and has been interpreted and applied ... The presentation and the discussion were in German, and the Holy Father was not speaking from a prepared text. My German is passable, but not entirely reliable. My later remarks in a live radio interview were extemporaneous. I think that I paraphrased the Holy Father with general accuracy, but my mentioning what he said at all was an indiscretion, and my impromptu paraphrase in another language should not be used for a careful exegesis of the mind of the Holy Father.I would like to set the record straight and avoid unnecessary embarrassment to the Holy Father. The truth is always crucial, but especially so here where the stakes are so high. I am disconsolate that I have obscured the truth by my ambiguous remarks.
(Source)
As Spengler remarks in the same article regarding Fr. Fessio's backpedaling, "Of course Father Fessio paraphrased the pope correctly. The overwhelming majority of Muslim theologians agree with the pope that Koranic revelation is fundamentally different from Christian or Jewish revelation, such that Islam cannot be reformed in the same way that Christianity or Judaism can be reformed. "
Let us not neglect to note the moore's head on Pope Benedict's coat of arms:
