A thought from my time of preaching and studying Romans 9-11 at Cross of Christ Fellowship in Naperville.
It is interesting to note that in a section (Romans 9-11) where God‘s ultimate sovereignty over the eternal destiny of every human is most forcefully stated (esp Rom 9:14-23), we also see one of the most clear expressions and models of praying for the salvation of those who are not Christians (Romans 10:1).
Though we do not understand how they work together, Scripture clearly teaches both divine sovereignty and human responsibility; the right approach for a Christian is to embrace the sovereignty of God AND at the same time pray for and share the gospel with those who are not Christians.