Narrative:

Under positive control of ground control; we were cleared to push from [the] gate onto taxiway a. We subsequently were cleared to taxi northeast bound on a; and my first officer (first officer) physically looked right; and stated 'clear right.' we were approaching the taxi line at about a thirty degree angle when I heard ground control broadcast to a light aircraft; 'I told you to give way to company.' I looked to our right; and saw a small aircraft; veering away from us; and passing on our right; maybe forty feet away. I was startled by the unexpected appearance of an aircraft passing us; and thankfully was only moving at perhaps less than eight knots ground speed; on a single engine taxi with minimal 32% thrust; when I saw the aircraft; so I only had to decelerate slightly to allow the aircraft safely pass. Ground control gave the other aircraft a slight verbal admonishment; and we continued our taxi as instructed.

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Original NASA ASRS Text

Title: Boeing 737 Captain reported a ground conflict with an aircraft that had not followed ATC instruction.

Narrative: Under positive control of Ground Control; we were cleared to push from [the] Gate onto Taxiway A. We subsequently were cleared to taxi northeast bound on A; and my First Officer (FO) physically looked right; and stated 'Clear right.' We were approaching the taxi line at about a thirty degree angle when I heard Ground Control broadcast to a light aircraft; 'I told you to give way to Company.' I looked to our right; and saw a small aircraft; veering away from us; and passing on our right; maybe forty feet away. I was startled by the unexpected appearance of an aircraft passing us; and thankfully was only moving at perhaps less than eight knots ground speed; on a single engine taxi with minimal 32% thrust; when I saw the aircraft; so I only had to decelerate slightly to allow the aircraft safely pass. Ground Control gave the other aircraft a slight verbal admonishment; and we continued our taxi as instructed.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.