"3. The offer of salvation on the part of God, therefore, is seriously and sincerely meant. For in that offer he does not say what he himself will do--whether or not he will bestow that faith. He has kept that to himself. He only tells us what he wants us to do: that we humble ourselves and seek our salvation in Christ alone. If it be objected that God nevertheless offers salvation to those to whom he has decided not to grant faith and salvation, then this is an objection equally applicable to the position of our opponents. For in that case, God also offers salvation to those whom he infallibly knows will not believe. It is the case after all, not only according to the Reformed but also according to all Christ-confessors, that the outcome of world history is eternally and unchangeably certain. The only difference is that the Reformed have the courage to say that that outcome corresponds to God's will and purpose. Although it is beyond our comprehension, God must have been able to will all that is and takes place, subject to all his virtues and perfections, or else God would no longer be God. History cannot and may not be a sparring partner for God." Herman Bavinck, Reformed Dogmatics (Grand Rapids: Baker Academic, 2008), 4:37.
"5. Although through this call salvation becomes the possession of only a few, as everyone must admit, it nevertheless retains its great value and significance also for those who reject it. For everyone without distinction, it is proof of God's infinite love and seals the saying that he has no pleasure in the death of sinners but rather that they should turn and live (Ezek. 18:23, 32). It proclaims to all that Christ's sacrifice is sufficient for the expiation of all sins, that no one is lost because the call is insufficiently rich and powerful, that no demand of the law, no power of sin, no rule of Satan can block its application, for the free gift is not like the trespass (Rom. 5:15). Frequently, even for those who harden themselves in their unbelief, it is a source of various blessings. The enlightenment of the mind, a taste of the heavenly gift, partaking of the Holy Spirit, enjoyment of the Word of God, the experience of the powers of the age to come--these have sometimes even come to those who later fell away and held the Son of God in contempt (Heb. 6:4–6)." Ibid., 4:37–38.
[Note: The reader should keep in mind that while we do not exactly agree with Bavinck on the nature and extent of Christ's satisfaction and his view of sufficiency, his comments above are cited as a demonstration of evangelical Calvinism’s affirmation that God in some true sense wants all men to be saved and proves his love for all men in the gospel offer. See here (click) for more. The second quote is referenced in Alexander C. De Jong, The Well-Meant Gospel Offer (Franeker: T. Wever, 1954), 46, n.36.].