Islam is a religion in the earth; it is one of the top three religions in all the earth and is growing rapidly, and much of it by force (as on the African continent). Does the Bible speak about the religion known to us as Islam? Well, not specifically but the Bible is about all people and thus it does talk about the people that perpetuate religions.
Islam is a religion founded by the prophet Mohammed, who was from the lineage of Ishmael son of Abraham. Islamist, or Muslims are not mentioned in the Bible, they are not even warned against by Jesus as He did against another form of Christianity that will (or has) sprang up in recent times.
The sons of Ishmael or modern day Arabs practice Islam supposed from their father Abraham, who is also the father to Isaac according to the scriptures. Isaac is the son in whom the covenant between God and Abraham went to, and further it went to Jacob the second son to Isaac (Genesis 26 & 27).
The Arabs are not mentioned in the Bible, but it does not exclude them from the plan of salvation through Jesus Christ. If a Muslim will accept Jesus the Christ into his life, they will receive eternal life as would anyone else.
In the Quran, many of the Biblical figures are mentioned and are noted. Moses and Jesus are well known prophets in the Quran but Jesus is not recognized as the son of God or to have been resurrected on the third day to ascend into heaven to sit on the right hand of the Father. Many Islamist utilize the Bible for reference, but not as Holy doctrine.