Here Jesus seems to connect salvation with forgiveness of sins:
Lk.7:47 Wherefore I say unto thee, Her sins, which are many, are forgiven; for she loved much: but to whom little is forgiven, the same loveth little. 48 And he said unto her, Thy sins are forgiven. 49 And they that sat at meat with him began to say within themselves, Who is this that forgiveth sins also? 50 And he said to the woman, Thy faith hath saved thee; go in peace.
“In Him we have redemption through His blood, the forgiveness of sins, according to the riches of His grace” (Eph.1:7)
“He has delivered us from the power of darkness and translated us into the kingdom of the Son of His love, in whom we have redemption through His blood, the forgiveness of sins.” (Colossians 1:13-14
“And be kind to one another, tenderhearted, forgiving one another, just as God in Christ also forgave you.” (Ephesians 4:32)
” . . . bearing with one another, and forgiving one another, if anyone has a complaint against another; even as Christ forgave you, so you also must do.” (Colossians 3:13)
“Christian are already saved, past tense: “by grace you have been saved” (Ephesians 2:5,8). The believer is already justified by faith, i.e., declared righteous by God on account of Christ. Thus the apostle Paul speaks of justification as something that has already occurred for the believer: “Therefore, having been justified by faith…much more then, having now been justified by His blood…” (Romans 5:1,9). He cannot be more or less justified, for His legal standing before God depends on the perfect righteousness and sacrifice of Christ. In this sense salvation is a specific, past event, and therefore the Christian can be assured that he is accepted by God.”