שמואל א, פרק י״ג, פסוק י׳

The long-awaited meeting between the king and the prophet occurs with exact precision, taking place right as one phase of the sacrificial service comes to a close. Samuel finally appears at the very moment Saul finishes presenting the burnt offering, just before the king has the chance to proceed with the peace offerings [מלבי״ם, ביאור שטיינזלץ].

Upon seeing the prophet, Saul goes out to meet him. While his action is framed as going out to bless him, it does not refer to a traditional blessing. The primary approach among commentators is that Saul is simply stepping forward to welcome his guest, offer a respectful greeting, and ask about his well-being, an understanding supported by [תרגום יונתן].