Mangini gave the Broncos their due in a rebound effort one week Denver lost at home to Oakland.
The pick of their chances fell to Valbuena after Antoine Griezmann's wonderful driven cross but Neuer denied him smartly and Hummels blocked Benzema's rebound effort.
Elliott's initial shot came back off the post and Driver's rebound effort looked certain to find the net until Stack leapt across his line to scoop the ball over the line with his foot.
The substitute dribbled away from several challenges on a mazy run from the left and, after his initial shot was saved, the rebound effort was deflected over the line by the unsuspecting McGivern.
Hibernian teammates Griffiths and Hanlon were involved in Scotland's first meaningful attack of the second half as the former's free-kick was beaten out by Hahm to Hanlon, who could not keep his rebound effort down.
Bamford, who would later depart to a standing ovation, came close to doubling the lead after collecting a Leadbitter through ball but was denied by Derby keeper Lee Grant, who completed a superb double save by palming away Jelle Vossen's rebound effort.
The grooming of a diverse bench, party leaders said, was key to the rebound effort.
Marcus Smart (Texas Assault): Smart led his Texas Assault team to the championship with a 29 point, 18 rebound effort in the final over Dream Vision.
Jerome Williams, undersized at power forward but known for his tireless rebounding efforts, arrived in the same deal.
Coach Jim Boeheim was furious with his team following the overtime escape in the Carrier Dome against rival Georgetown, calling his Orange's rebounding efforts a "disaster".
