Gazza

TL
You said
“I cannot find any place in Scripture where God does not allow someone who desires to come to Him, to come to Him. “

I agree totally. However, scripture does say that without God opening our hearts first we will never desire to come to Him. Our sinful nature blinds us against even wanting to come to God in repentance.

Eph 2
4But because of his great love for us, God, who is rich in mercy, 5made us alive with Christ even when we were dead in transgressions—it is by grace you have been saved.

God MADE US alive even when we were dead and unable to act for ourselves. Our desire for God is a symptom of the new work He has begun within us. Without His work it is a desire we are unable to have as we are dead in our transgressions.