The result left Monchengladbach four points adrift of fourth-placed Schalke, who have a game in hand.
Second-placed Borussia Dortmund going down 2-1 away to Schalke while third-place Bayer Leverkusen lost 1-0 at Mainz.
They have 26 points, four more than Werder Bremen and SV Hamburg who play on Sunday, and Schalke.
The Royals Blues of Schalke remain in fourth, but could count themselves unfortunate not to get three points.
Julian Draxler put Schalke ahead in the first half but Jonathan Schmid leveled for Freiburg just after the break.
Demetradze and Levan Kobiashvili, the Schalke 04 midfielder, were becoming increasingly influential as the Scots struggled to retain possession.
BBC: SPORT | Football | Internationals | Scotland 2-1 Georgia
Schalke will be joining Dortmund and Bayern in next season's Champions League draw after they beat Hertha Berlin 4-0.
An own goal from Julian Schuster saw Schalke ahead again and left Freiburg in fifth place in the final standings.
Meanwhile, UEFA has dismissed Schalke's protest over the eligibility of Galatasaray striker Didier Drogba to play in the Champions League.
Following a 1-1 draw in the first leg, Schalke looked set to progress when Roman Neustadter prodded home from close-range.
That's what legendary striker Raul did when he left Real Madrid after 18 years for Schalke 04 in Germany's Bundesliga.
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Gerald Asamoah scored for Schalke in the 76th minute after Twente goalkeeper Sander Boschker deflected Kevin Kuranyi's shot back into play.
Schalke, beaten 4-2 by the Spaniards in their home leg, twice led through Raul and Klaas-Jan Huntelaar, but were twice pegged back.
In Germany , second-placed Hamburg joined leaders Bayer Leverkusen on 22 points after being held to a 3-3 draw at Schalke.
That version of events has been pushed recently by reports out of Germany that Schalke was looking to hire Heynckes for next season.
Belgian defender Daniel van Buyten put the home side ahead in the 31st minute, but Marvin Matip equalized for Schalke just before the break.
Uche played a key role as Krakow beat Germany's Schalke 04 and came close to knocking out Italian side Lazio in last season's Uefa Cup.
Winning the 'salad bowl' is a fitting send-off for coach Felix Magath, who was overseeing his final game in charge before joining Schalke next season.
"Having examined all the documents of the case, the Control and Disciplinary Body decided to reject the protest lodged by Schalke, " said a UEFA statement.
But there was deadlock in the game between Mainz and Schalke.
Germany goalkeeper Manuel Neuer left Schalke in 2011 and striker Mario Mandzukic parted with Wolfsburg last year following his impressive performances for Croatia at Euro 2012.
Hamburg moved up to fourth place on goal difference ahead of Schalke, two points behind Bayern and Bremen, after being held 0-0 at home by Hoffenheim.
But Galatasaray, boasting the likes of Didier Drogba and Wesley Sneijder, was soon level thanks to a stunning 25-yard drive from former Schalke player Hamit Altintop.
Arsenal takes a 2-0 lead away to Schalke in Champions League action but are fortunate to hang to a draw after goals from Huntelaar and Farfan.
In the night's other game, Galatasaray booked its place in the last eight with a dramatic 3-2 win over Schalke in Germany to progress 4-3 on aggregate.
Meanwhile, third placed Schalke suffered a shock 4-1 defeat at Nuremberg which leaves them six points behind Bayern ahead of their clash with Dortmund at the weekend.
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Elsewhere, Schalke 04 earned a Champions League spot for next season with a 2-1 win at SC Freiburg, who will have to settle for a Europa League place.
The result left Leverkusen four points clear of Schalke and Werder Bremen, who face each other on Saturday evening, and extended their season-long unbeaten run to 16 games.
His equaliser for Schalke in their 1-1 draw at Valencia in the first leg of their Champions League last-16 tie was his 71st in a European club fixture.
Third-placed Schalke host Hanover while Bayer Leverkusen travel to Hamburg.
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