The visitors found the back of the net in the second stanza through Danny Phiri to get a point.
In the wake of the draw, the Durban-based side now occupy fifth spot with 20 points from 14 league matches.
Both sides finished the game with 10 men, with Percyval Nkabinde and Clifton Miheso receiving their marching orders.
Both sides started the match with a high intensity as they chased an early goal, but they failed to penetrate each other in the opening 10 minutes.
Towards the 20th minute, Munetsi tried a long range shot to beat Arrows goalkeeper, Nkosingiphile Gumede, but his attempt went wide, right of the target.
Two minutes later, Miheso committed a foul in the box on Richard Matloga and the referee pointed to the spot; which Matloga duly converted handing the hosts the lead in the 23rd minute.
Despite getting a goal, Bakgaga were dealt a huge blow when Nkabinde received his second booking and was sent off for an early shower in 27th minute.
However, with three minutes to the interval, Miheso was also shown his marching orders after a foul on Munetsi.
It was 1-0 at half-time in the hosts favour.
Upon their return from the tunnel, Abafana Bes'thende pushed in numbers in search of an equaliser and Andile Fikizolo's shot went wide - failing to beat Oscarine Masuluke in the 51st minute.
With 14 minutes remaining on the clock, Clinton Larsen's men pulled level through Phiri who latched onto Wayde Jooste's cross with a right footed finish.
The last seven minutes of the match saw substitute Kudakwashe Mahachi also going for a shot at goal, but the Zimbabwean missed the target.
The draw takes Kgoloko Thobejane's side to 14th spot with 12 points from 14 rounds of league matches.
Teams:
Baroka FC
Masuluke; Mapetho, Zikalala, Shaku, Motshegwa (Aucho 70'), Mothupa, Munetsi, Rithabile (Mahachi 30'), Makgaka, Nkabinde, Matloga
Golden Arrows
Gumede; Phiri, Mzava, Miheso, Dube (Sibiya 46'), Jooste, Mngwengwe, Fikizolo (Mahachi 63'), Sibeko, Bilankulu, Lamola (Ntanga 76')