Of course the scripture says that God DOES desire to save everyone, and has made provision for everyone 
1 Tim 2:4 For this is good and acceptable in the sight of God our Savior,
who desires all men to be saved and to come to the knowledge of the truth. For there is one God and one Mediator between God and men, the Man Christ Jesus, who gave Himself a ransom for
all, to be testified in due time
1 John 2:1,2 My little children, these things I write to you, so that you may not sin. And if anyone sins, we have an Advocate with the Father, Jesus Christ the righteous. And He Himself is the propitiation for our sins, and
not for ours only but also for the whole world.
And the scriptures says that God causes ALL THINGS to work according to the counsel of His will, and has made the mystery of the salvation of all known to any who seek the truth, 
Eph 1: 7-11 In Him we have redemption through His blood, the forgiveness of sins, according to the riches of His grace which He made to abound toward us in all wisdom and prudence,
having made known to us the mystery of His will, according to His good pleasure which He purposed in Himself, that in the dispensation of the fullness of the times He might gather together in one ALL THINGS in Christ, both which are in heaven and which are on earth—in Him. In Him also we have obtained an inheritance,
being predestined according to the purpose of Him who works all things according to the counsel of His will, that we who first trusted in Christ should be to the praise of His glory
especially to us, who will participate in the full redemption of the whole creation 
Ro 8:18-21 For I consider that the sufferings of this present time are not worthy to be compared with the glory which shall be revealed in us. For the earnest expectation of the creation eagerly waits for the revealing of the sons of God. For the creation was subjected to futility, not willingly, but because of Him who subjected it in hope;
because the creation itself also will be delivered from the bondage of corruption into the glorious liberty of the children of God.
Eph 2:4-7 But God, who is rich in mercy, because of His great love with which He loved us, even when we were dead in trespasses, made us alive together with Christ (by grace you have been saved), and raised us up together, and made us sit together in the heavenly places in Christ Jesus,
that in the ages to come He might show the exceeding riches of His grace in His kindness toward us in Christ Jesus.
Because in the end, Every knee shall bow, Every enemy will be subjected, Everyone ever created will be reconciled, and God will be ALL IN ALL

Phillipians 2:9,10 Therefore God also has highly exalted Him and given Him the name which is above every name, that at the name of Jesus every knee should bow, of those in heaven, and of those on earth, and of those under the earth, and that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father.
1 Corinthians 15:22-28 For as in Adam all die, even so in Christ all shall be made alive. But each one in his own order: Christ the firstfruits, afterward those who are Christ's at His coming. Then comes the end, when He delivers the kingdom to God the Father, when He puts an end to all rule and all authority and power. For He must reign till He has put all enemies under His feet. The last enemy that will be destroyed is death. 27 For "He has put all things under His feet."But when He says "all things are put under Him," it is evident that He who put all things under Him is excepted. 28 Now when all things are made subject to Him, then the Son Himself will also be subject to Him who put all things under Him, that God may be all in all.
Colossians 1:15-20 He is the image of the invisible God, the firstborn over all creation. For by Him ALL THINGS were created that are in heaven and that are on earth, visible and invisible, whether thrones or dominions or principalities or powers. ALL THINGS were created through Him and for Him. And He is before ALL THINGS, and in Him ALL THINGS consist. And He is the head of the body, the church, who is the beginning, the firstborn from the dead, that in ALL THINGS He may have the preeminence.
For it pleased the Father that in Him all the fullness should dwell,
and by Him to reconcile ALL THINGS to Himself, by Him, whether things on earth or things in heaven, having made peace through the blood of His cross. Lest we doubt the Word of our Lord who said, "If I be lifted up I will draw ALL MEN unto me", all men drawn by his infinite love untill ALL are in God and God is in ALL."

Romans 11:32-36 For God has shut up ALL in disobedience so that He may show mercy to ALL.
Oh, the depth of the riches both of the wisdom and knowledge of God! How unsearchable are His judgments and unfathomable His ways! For WHO HAS KNOWN THE MIND OF THE LORD, OR WHO BECAME HIS COUNSELOR? Or WHO HAS FIRST GIVEN TO HIM THAT IT MIGHT BE PAID BACK TO HIM AGAIN? For FROM HIM AND THROUGH HIM AND TO HIM ARE ALL THINGS. To Him be the glory forever. Amen.
