In a quiet first half, teenager Darren Ambrose twice went close for Ipswich before Sartid snatched a potentially crucial away goal.
Mirosavljevic latched on to a precision throughball from Demir Ramovic, before firing an angled shot beyond Andy Marshall.
Ipswich lacked ideas before the break and had created little in the second half before Armstrong popped up with the equaliser.
The striker brought down a deep John McGreal cross before volleying beyond Dragan Zilic with his right foot.
Jamie Clapham went close to a second goal in the 58th minute when his near-post header from Pablo Counago's cross was turned on to the bar by Zilic and Armstrong could not quite reach the rebound.
Miller headed just wide after a Fabian Wilnis cross was deflected high into the air, but Ipswich's pressure was frustrated as a succession of Sartid players went down, claiming injuries.
The game also became more niggly towards the end, and the visitors had already had four players booked before Dejan Kekezovic was sent off in the last minute.
Already on a yellow card after a 55th minute foul, the defender foolishly fouled Counago from behind to collect his second caution.
This result maintains Ipswich's unbeaten home record in European ties, which now extends to 30 matches, but they have a lot to do if they are to win the tie in a fortnight's time.
Kickoff 19 September 2002 19:45 at Portman Road Referee: Mikulski.T Attendance: 16,933
Kekezovic, 55, foul
Paunovic, 64, foul
Savic, 84, foul
Kekezovic, 90, foul
Mirosavljevic, 90, foul
2. F.Wilnis
3. J.McGreal
4. M.Venus
5. H.Hreidarsson
6. J.Clapham
7. M.Holland
8. T.Miller
9. D.Ambrose
10. P.Counago
11. A.Armstrong
2. Kekezovic
3. Radosivljevic
4. Paunovic
5. Spasic
6. Socanic
7. Bogdanovic
8. Vascovic
9. Mirosavljevic
10. Ramovic
11. Zecevic
13. J.Wright
14. J.Magilton
15. D.Bent
16. M.Bent(72)
17. F.George(64)
18. W.Brown
13. Savic(67)
14. Kizic(50)
15. Branezac
16. Kulic
17. Zivanovic
18. Dokic