The visitors, meanwhile, dropped into the bottom half last weekend, but can move up to seventh place by beating their forthcoming opponents.
Frank Kramer continued his steady start since replacing Uwe Neuhaus as Arminia's manager last month by guiding his side to their fifth point in five matches under his tutelage with a 1-1 draw at relegation rivals Mainz 05 on Saturday.
Mainz, who also appointed a new manager in the shape of Bo Svensson in January, had won their previous two matches to leapfrog Arminia in the table, so Kramer's side could not afford to lose further ground on them.
Former Swansea City defender Mike van der Hoorn clumsily tripped up Jonathan Burkhardt 10 minutes into the second half to allow Daniel Brosinski to open the scoring from the penalty spot, but Voglsammer struck from range to claim a crucial point for Arminia, which kept them within two points of safety.
Freiburg have somewhat loftier aspirations this season having performed above expectations, with seventh place - and a potential Europa League qualification spot as a result, depending on which side wins the DFB-Pokal - still in their sights despite a damaging 2-1 defeat at Borussia Monchengladbach last time out.
Marco Rose's side had lost seven successive matches prior to their morale boosting 3-0 win at Schalke 04 prior to the international break, so Christian Streich must have been cursing his side's luck - or lack thereof - regarding the timing of the fixture.
However, an incisive counter-attack saw Roland Sallai open the scoring after 10 minutes to strike in two successive Bundesliga matches for the first time in his career.
Lucas Holer looked to have doubled the visitors' lead from close range, but replays showed that Yann Sommer marginally prevented the whole ball from crossing the line with a superb reflex save with his outstretched foot.
The complexion of the match changed after the break, with Marcus Thuram's deflected effort leaving Florian Muller no chance, before the France forward showed blistering pace to race past Philipp Lienhart and around Muller to slot home his sixth strike of the season, helping Gladbach move above Freiburg into the top half of the table.
Streich's side's destiny very much remains in their own hands, though, with seven matches still remaining.
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With his side desperately needing a victory, Kramer may consider restoring Sergio Cordova or club legend Fabian Klos in attack in place of the injured Maier, with Michel Vlap potentially dropping deeper as a result.
Freiburg, meanwhile, have a mini-crisis in terms of attackers available to travel to Bielefeld, with Holer and Ermedin Demirovic both suspended after receiving their fifth cautions of the season against Gladbach.
Arminia Bielefeld possible starting lineup:
Ortega; Brunner, Van Der Hoorn, Nilsson, Lucoqui; Doan, Vlap, Prietl, Okugawa; Klos, Voglsammer
Freiburg possible starting lineup:
Muller; Kubler, Lienhart, Gulde, Gunter; Schmid, Santamaria, Hofler, Sallai; Petersen, Til
We say: Arminia Bielefeld 1-0 Freiburg
With Freiburg missing key personnel in attack, Arminia must seize the initiative here in a potentially pivotal match for them in terms of surviving relegation.
Kramer's side struggle to score goals, though, so may require a rare clean sheet if they are to gain three points and move outside of the relegation places in the process.