The Bobcats (8-6, 7-5) had a chance with two minutes left. Thomas Petrutoni took a shot following a corner kick, but a Greene defender cleared it off the line.
Brandt McCall made 15 saves for the B-G.
“Brandt played very well tonight to keep us in the game,” said Feltham, whose team lost, 7-1, to the Trojans (13-0) earlier this season.
The Bobcats will travel to Afton on Friday.
SK 10, Jefferson 0
In a statistical rarity, the host Rams had 10 players score during their Delaware League victory.
Ty Magnan scored two minutes into play off an assist from Dan Nelson. Four minutes later, Ty Faulk made it 2-0 off an assist from Ryan Sluiter.
Sluiter, Sean O’Connell, Dylan Boest, Brandon Porter, Nelson, Sam Fabrykiewicz, Dan Fronckowiak and Connor Woznick also scored for South Kortright (7-3-2, 5-2), which will travel to Hunter-Tannersville on Thursday.
Logan Pasa made 13 saves for Jefferson.
Owen D. Young 3, Cooperstown 1
Max Clinton gave host Cooperstown a one-goal lead 17 minutes into play, but Owen D. Young rallied for a Center State Conference victory.
Clinton ran onto a corner kick that was deflected by an Owen D. Young defender and one-timed it inside the far post to make it 1-0.
Owen D. Young (9-2, 7-1) tied it three minutes later on an 8-yard shot from Matthew Cristman. Ryan Crouse gave the visitors a 2-1 lead seven minutes before halftime, collecting a loose ball in the box before scoring.
It stayed that way until Dustin Monk scored on a breakaway with eight minutes to go.
Cooperstown (7-5, 6-4) held a 14-10 advantage in shots.
“They actually had more quality shots than we did,” Cooperstown coach Frank Miosek said.
Cooperstown will travel to Vernon-Verona-Sherrill for a non-league game Friday.
Unatego 7, Oxford 0
On Senior Day, six 12th-graders scored for host Unatego in its Midstate Athletic Conference victory.
Jasper Humprhies, Johnathan Forte, Nate Kafchinski, Tristin Roefs, Ryan Carson and Spencer Wilson were the six seniors who scored. Junior Cody Manzanero also had a goal for the Spartans.