Following Saturday`s FA Cup Second Round matches, six non-League sides will be in the hat for Sunday`s Third Round draw when they could be joined by a seventh should Blue Square Premier side Kettering Town avoid defeat against Leeds United.
There was always going to be at least three teams from outside the League in the draw as therw were three ties pairing non-League teams.
York City edged past Blue Square Premier rivals Cambridge United to secure their place in the Third Round for the first time since 2002.
The visitors took the lead when Michael Rankine struck after 37 minutes.
Richard Brodie doubled the lead 3 minutes later when he scored from the penalty spot after he was fouled by Robbie Willmott.
Cambridge got a goal back 6 minutes from time when Anthony Tonkin fired in a shot which hit both posts before going in, but York held on to secure their place in Sunday's draw.
Barrow came from behind to force a replay with Blue Square Premier rivals and leaders Oxford United, who finished the game with ten-men.
Jamie Cook put United ahead after 9 minutes, cutting inside onto his left foot and firing home via a deflection from Mike Pearson.
But the visitors levelled just before the break when Luke Foster was sent-off for a professional foul on Rob Hulbert and Andrew Bond fired the penalty past Ryan Clarke.
Jack Midson had a chance to win it for Oxford but his header looped wide.
The teams meet in the replay on Tuesday, December 8th.
A Mark Preece header sent Blue Square Premier Forest Green Rovers through, despite a spirited effort from Blue Square South neighbours Bath City at Twerton Park.
The visitors took the lead after 24 minutes in fortunate circumstances when a deflection sent Jonathan Smith's long-range effort past home keeper Ryan Robinson.
City equalised just before half time when Lewis Hogg nodded home Sekani Simpson's high cross. But Preece settled things 3 minutes after the interval with a near-post header from Smith's corner.
Blue Square Premier Luton Town will be in the hat on Sunday but they will need a replay to take part in it following a 2-2 draw with Coca-Cola League Two high-flyers Rotherham United.
The Hatters were good value in an entertaining cup tie that saw both sides lead.
It looked as though the Hatters would go in at the interval a goal to good following Tom Craddock's 20th minute penalty after Claude Gnakpa was upended by the Millers' left-back Andy Nicholas.
But 3 minutes into added time at the end of the first 45 minutes the hosts' leading goalscorer Adam Le Fondre tapped home from close range to level the scores.
The second half began with the Millers in the ascendancy and Ronnie Moore's outfit took the lead for the first time on 62 minutes when Stephen Brogan headed home Gary Roberts' deep right-wing cross.
At that point it looked as though the Hatters were heading for a cup exit but substitute Mark Nwokeji had other ideas when he calmed slotted past veteran keeeper Andy Warrington after latching onto a superb through-ball from Craddock to earn a replay.
Ali Chabaan's 79th minute equaliser ensured Blue Square South side Staines Town's dreams of reaching the Third Round were alive after drawing with Coca-Cola League One outfit Milwall.
The striker's penalty cancelled Paul Robinson's 69th minute opener after Richard Butler was fouled in the box.
Chaaban squandered a golden opportunity from a one-on-one on 25 minutes when he fired straight at keeper David Forde.
Robinson's header put Milwall in front but Staines refused to cave in as Chabaan atoned for his earlier error.
Blue Square Premier side Rushden & Diamonds twice came from behind against Coca-Cola League One hosts Brighton, but suffered heartbreak as a late goal knocked them out of the cup.
Justin Edinburgh's side thoroughly deserved another chance against Gus Poyet`s new charges, but Liam Dickinson struck for the second time to send the Seagulls through.
Diamonds made a nightmare start as a mix-up between keeper Nathan Abbey and skipper Jamie Stuart gifted the opening goal to Dickinson after only 2 minutes.
Neil Cousins was carried off but Lee Tomlin produced a stunning equaliser with a low finish past Graeme Smith.
Nicky Forster wasted a couple of clear-cut chances before making it 2-1 from the penalty spot following Curtis Osano's trip on the veteran striker.
Diamonds got back on level terms as Aaron O'Connor cut inside and found the far corner.
The second half was much quieter but Forster missed the best opportunity by firing wide.
But with 5 minutes to go, a challenge on Forster saw the ball break kindly for Dickinson to beat Abbey again.
A late goal from Gordon Greer sent Swindon Town into the next round past superior, ten-man Blue Square Premier outfit Wrexham.
Ashley Westwood had a header cleared off the line as Wrexham impressed.
The home side stayed on top after the break, even after Christian Smith's straight red for a reckless 52nd minute challenge on Jon Douglas.
David Lucas saved superbly from Wes Baynes and Marc Williams, before Greer rose above a static defence to nod in Jon-Paul McGovern's in-swinging corner.
