God desires all mankind turn in faith to Him.
All that the Father giveth me shall come to me; and him that cometh to me I will in no wise cast out. (John 6:37 KJV)
God desires that all mankind will come by faith into a personal relationship with Him.
He states this clearly throughout scripture including this verse:
Who will have all men to be saved, and to come unto the knowledge of the truth. (1 Timothy 2:4 KJV)
However, the Bible is also clear that not all people will choose to come to Him.
There will be many who are not willing to place faith in God but will foolishly place their faith erroneously in objects or idols of their affection rather than in His Truth.
God says that whosoever shall come to Him in faith He will not cast them aside. Any man who truly seeks a relationship with Him through faith God say He will accept never turning any person away.