There is no difficulty, Christ's sacrifice provides the ransom for all, those to be saved and those never to be saved. Thus His death provides the means of reconciliation (which if obtained results in salvation). The key is to accept that believers must receive the reconciliation, and discard the unbiblical belief in automatic reconciliation when a person puts dead or lip service faith in Christ. It is God who either credits a person's faith as righteousness, or not. And if not, they do not "automatically" receive reconciliation.