Many prophecies of the Savior concerning the house of Israel have already been fulfilled. Some of these were fulfilled before the coming forth of the Book of Mormon, but many of them have been fulfilled since the publication of this holy scripture. However, others of these prophecies of the Savior are now in the process of fulfillment and still others are in the future.
For example, in verse 29 the Savior promises that in the last days the house of Israel should be gathered together to "the land of their fathers for their inheritance, which is the land of Jerusalem, which is the promised land unto them forever, saith the Father." (3 Nephi 20:29.) This prophecy was made by the Savior in A.D. 34 and it was published in the Book of Mormon in 1830. Yet it was not until 1948, 118 years after the publication of the Book of Mormon, that the modern state of Israel was established and these people could gather home to the land of their inheritance.
Also, in verse 30 the Savior prophesies: "And it shall come to pass that the time cometh, when the fulness of my gospel shall be preached unto them." Again, the great missionary program of the Church was not organized in 1830 when the Book of Mormon was published. However, since that time the gospel has been taken to many peoples upon the earth, including many of the Jewish people. In verse 31 the Savior continues: "And they shall believe in me, that I am Jesus Christ, the Son of God, and shall pray unto the Father in my name." So far this prophecy has been only partially fulfilled; the acceptance of Jesus Christ by the Jewish people as a whole is still in the future.