If the biblical story of Solomon is essentially accurate, then his Egyptian wife would have almost certainly given him a copy of the Wisdom of Amenemope, as it carried the name of her father. This was not the Amenemope that wrote the Wisdom of Amenemope, however, it still would have made a good present to a barbarian king she would no doubt want to Egyptianize. The influence of Solomon's wives over his beliefs is a central aspect of his story within the biblical narrative, with the Levites that wrote the surviving versions of the books of Kingdoms (Samuel and Kings) ultimately describing the downfall of the unified kingdom of Israel (Judea and Samaria) as being because of his actions. Yet, he was described as building the first temple in Jerusalem, and so continued to be revered by the Levites.
Whether Solomon existed or not, the Book of Proverbs was compiled by someone who ascribed it to him. This person drew on many ancient sources but clearly had a copy of the Wisdom of Amenemope in his possession. The fact that the author of Proverbs translated texts directly from Amenemope is not in doubt, and almost all major Christian denominations have recognized the preeminence of the Wisdom of Amenemope in the compilation of Proverbs.