Entygchano (ἐντυγχάνω) means to meet with, approach, or petition on behalf of another — to intercede. It is the verb used for both the Spirit's intercession for believers (Romans 8:26-27) and Jesus Christ's ongoing heavenly intercession at the right hand of the Father (Romans 8:34; Hebrews 7:25). The word can also mean to make petition against someone (Romans 11:2; Acts 25:24), but its primary New Testament use is the positive one: intercession.
The twin appearances of entygchano in Romans 8:26-34 create one of the most profound theological statements about prayer in all of Scripture. The Spirit intercedes for us with groans too deep for words (entygchano); Christ at God's right hand intercedes for us (entygchano). This means the believer's prayer is bracketed by divine intercession — below, the Spirit; above, the Son. The Christian never prays alone. The priesthood of Christ (Hebrews 7:25) is defined precisely by this permanent, life-giving intercession: 'he always lives to entygchano for them.'