I believe Universal Atonement is the Gospel Truth, not Limited Atonement.
"He is the propitiation for our sins, and not for ours only but also for the sins of the whole world." (1 Jn 2:2)
Christ died for all and thus all will receive Sufficient Grace to be saved. The Saints are Predestined to Salvation, yet nobody is "Predestined to Damnation". The idea of Double Predestination is Non-Biblical. There is only Predestination to Heaven.
Even a Non-Christian like Cornelius received Sufficient Grace to be saved, though he did not believe explicitly in Christ yet. How? He prayed to Almighty God, and did Good Works, such as Alms-giving. Because God accepted these, in His Mercy, first an Angel, and then Apostle Peter, was sent to teach him faith in Christ. He then believed in Christ and was baptized and thus saved by God.
Also Acts
10:34: "Then Peter opened his mouth and said: “In truth I perceive that God shows no partiality. 35 But in every nation whoever fears Him and works righteousness is accepted by Him." is a far cry from the "Total Depravity" Doctrine.
God Bless.
[Edit. Cornelius had said:
"30 So Cornelius said, [i]“Four days ago I was fasting until this hour; and at the ninth hour I prayed in my house, and behold, a man stood before me in bright clothing, 31 and said, ‘Cornelius, your prayer has been heard, and your [j]alms are remembered in the sight of God. 32 Send therefore to Joppa and call Simon here, whose surname is Peter. He is lodging in the house of Simon, a tanner, by the sea. [k]When he comes, he will speak to you.’ 33 So I sent to you immediately, and you have done well to come. Now therefore, we are all present before God, to hear all the things commanded you by God.”