Slough got off to the perfect start as Lee Riddell's downward header was seized upon by Romeo, and the prolific striker made no mistake, slamming home a volley from 12 yards.
But the hosts were level less than a minute later, as the Rebels switched off at a free-kick. The ball was played across the box into the area and Michaes Herbert slid in at the back post to slot in low past Jackson.
Slough looked for an instant response and after an Abingdon penalty appeal was waved away, the Rebels broke and Jordan found some space whilst one on one with the last defender, but his attempted chip was off target.
James Pritchard thought he had won a penalty on 20 minutes as he was taken out in the area after being put through on goal, but the referee waved away the appeals, which were strong and justified.
The remainder of the half petered out into a tepid affair, with Abingdon having slightly the better of it with Holden having a couple of chances. He broke through the offside trap and brought a save from Jackson's left boot for a corner. Holden was again put through against Fenton, and he cut inside and fired a shot past the post.
Slough started the second half brightly with Pritchard bringing a save low down from Warrell. The rebound fell just short of Yashwa Romeo and Abingdon were able to clear.
Neither side was able to get on top of the match and the long ball over the top became a familiar tactic. Slough had a half chance as a free kick into the box was not cleared and Pritchard and then Allaway had shots blocked and the ball was cleared. McConigley also had a shot blocked on the edge of the area from the resulting corner as the keeper missed the back post cross which was half cleared.
At the other end, Slough had a let-off when a corner was flicked on at the near post over Jackson and the hosts missed a great chance at the far post which looked easier to score.
Slough tried to shake things up by introducing Platt for Smith in an attacking move with Lee Riddell moving into the back four. The Rebels almost capitalised on a poor back pass as the newly-introduced Platt ran clear, only for the onrushing Warrell to win the ball. Warrell then felled Jordan outside the box, and was booked for his troubles, along with Jordan for his protestations. The resulting free kick was played into the defensive wall by Pritchard, with Allaway blazing the rebound over the bar.
The Rebels were looking a little anxious at the back as the half wore on, but generally handled Abingdon well. Neither side could find a way through to goal and the sides had to settle for a draw in a game of few chances.
Abingdon Utd Line up
1. Sam Warrell, 2. Mark Janes, 3. James Organ, 4. Tom Austin, 5. Tom Franklin, 6. James Smith, 7. Matthew Biddle, 8. Micheas Herbert, 9. Luke Holden, 10. Billy Beechers, 11. Ben Weedon. Subs: 12. Mark Burton, 14. Pablo Haysham, 15. Julian McCalmon, 16. Matthew Horsell, 17. Anaclet Odhiambo.