On Monday night, Malmo picked up their second one-goal win of the campaign, but needed a touch of good fortune to beat Elfsborg, 2-1.
Inside the opening 30 seconds, Colin Rosler's foul on Taylor Silverholt saw the referee point to the spot and award Elfsborg a penalty. Simon Hedlund stepped up, but his effort was saved by Ricardo Friedrich.
There was further drama at the start of the second half, when the ball fell kindly for Anders Christiansen inside the area - he found space through a crowd and forced the ball home for Malmo.
But with his early miss firmly behind him, Hedlund drew Elfsborg level 20 minutes from time with a clean strike from outside the area.
That strike was somewhat against the run of play and it did not take long for Malmo to rediscover their rhythm and the lead - seven minutes later, fine work from Taha Ali set up Arnor Sigurdsson, who guided the ball into the bottom corner and leave Elfsborg on just one point so far.
After a loss to the champions in the season's curtain-raiser, Djurgarden were keen to hit back on the short trip to Uppsala on Saturday, but despite multiple dangerous balls into the Sirius box, they could not find a way through before the break.
The home side's resistance broke six minutes after the break, when Adam Stahl's strike from just inside the area took a deflection off Tobias Carlsson and into the net.
Djurgarden were wasteful for the rest of the second half, but Stahl's strike was enough for the 1-0 win.
The match of the round took place in Solna, where AIK came from 3-1 down to beat Norrkoping 4-3.
Sotirios Papagiannopoulos was the only scorer in the first half, but unfortunately for him, the ball ricocheted off him and into the back of his own net to give Norrkoping the lead.
It wasn't until just before the hour mark when Aaron Csongvai got AIK level, before two Christoffer Nyman goals seemed to have won the game for the visitors.
John Guidetti pulled one back with 16 minutes to play, before an AIK corner was bundled over the line by Mads Thychosen to equalise.
In the 90th minute, the Strawberry Arena went wild when a Thychosen strike deflected kindly for Johan Hove, who fired in a dramatic winner and send AIK to six points from two played, while Norrkoping have both scored and conceded the most goals in the division so far.
The surprise early leaders in the Allsvenskan are still newly-promoted Degerfors, who backed up their 5-0 win on the opening day with a 1-0 win over Varnamo thanks to an early Hugo Andersson own goal.
Second half goals from Shaquille Pinas and Nahir Besara in a 2-0 win at Brommapojkarna means Hammarby and Degerfors have an identical record of six points and six goals scored without reply.
A Max Fenger strike in the second half was enough to get Goteborg off the mark for the campaign, beating Halmstad 1-0.
Newcomers Oster are also off the mark after securing a 2-0 win over Hacken at home. David Seger scored the first top-flight goal at the Visma Arena for 11 years in the first half, before Alibek Aliev made the game safe.
Finally, it is two draws from two for Mjallby, but only after a late, late show at home to GAIS.
The visitors thought they had won it in the 90th minute when Ibrahim Diabate but then Gothenburg side ahead, but a Tom Pettersson header from a 96th-minute corner grabbed the home side a 1-1 draw.