Against Widnes seven days earlier, they failed to see the game out as they lost 34-29 after holding a seven-point lead with seven minutes remaining.
At the Red Devils, Rovers turned down a 30-metre penalty in front of goal which would have seen them take an 18-16 lead with 12 minutes to play.
Whilst there is no guarantee Travis Burns would have landed the kick, going into the rain and wind, it would surely make sense to try, regardless of how strong the wind was.
Having rejected a shot at two points which would have been enough to win the game, Rovers decided to take a tap penalty which led to Mick Weyman's error when playing the ball a metre from the Salford try-line. The decision upset coach Craig Sandercock, whose cries of 'no' were heard throughout the half empty stadium.
His patience was pushed even further when Kris Keating foolishly chipped over to give Salford one last chance to score. Thankfully, Gareth Hock's poor pass to Jake Mullaney saw the game finish level.
Okay, so a point is better than nothing, which is what they could have gone home with had Rangi Chase's ambitious drop-goal from 45 metres been an inch higher instead of bouncing off the crossbar, to KR's relief.
But in a month which looked like a glorious chance to gain maximum points from four games, Rovers have now dropped three of the four on offer.
Put simply, these are the games Rovers should be winning if they are to climb the table and get anywhere close to the top spots.
While the draw means KR go into the second derby of the season level on points with Hull in the table, they will still go into the Magic Weekend on the back of yet more frustration.
It wasn't just the end of the game that left Rovers frustrated. The start of the game presented chances to post points.
Burns landed his fourth 40/20 of the season, but the Robins' conversion rate of one try from four is not good enough.
After missing the last 12 games, the rustiness showed as Dave Hodgson dropped Kris Welham's pass for a disappointing first touch.
The rain meant the game was never going to be free flowing, and there were almost as many errors in the first half as there were points as both sides spilled possession regularly.
Ben Cockayne forced a goal-line drop-out after Mullaney made a mess of Burns' kick, but Josh Hodgson was held up going for the line on the final tackle.
Hooker Hodgson and Neville Costigan pushed Lama Tasi over the line to force another drop-out, but Dave Hodgson's error from Keating's pass ended the big opportunity.
Eventually, Salford found a way out of their own half and applied pressure on the Rovers line after 14 minutes of KR domination.
After Rovers conceded back-to-back penalties, Chase sent Francis Meli over for the opening unconverted try with a long high cut-out pass, but the lead lasted only four minutes as KR responded rapidly.
Keating's pass was meant for Dave Hodgson, but Welham took matters into his own hands to score his fifth try of the season.
Burns failed to convert, but his presence was growing by the minute and it was his kick that Mullaney made a mess of gathering that allowed Kevin Larroyer to score from close range in front of the Rovers supporters. Burns converted to give Rovers a 10-4 lead which they took into the break.
Salford started the second half brightly with Chase kicking a 40/20 and another that came up inches short but they both came to nothing.
Rovers felt hard done by when penalised for pushing Hock into touch, and their frustrations increased when Salford did the same to Liam Salter to force a goal-line drop-out.
Those sequences led to Salford drawing level when Meli went over in the left hand corner, even though he looked to be in touch before grounding the ball.
Spurred on by the injustice of referee Phil Bentham, Rovers went up the other end and regained their lead. Burns made a break and kicked through for Costigan to gather the ball, roll out of the tackle and stretch at full length to score his second Robins try. Burns' conversion gave Rovers a 16-10 lead with 20 minutes to go.
Five minutes later, Salford were level. Dave Hodgson spilled a Chase kick to present Martin Gleeson a chance to score. Mullaney landed the game-tying conversion to set up a tense finale.
Two minutes after being pegged back, Rovers turned down the two points that could have won the game, only for Weyman to play-the-ball incorrectly to let the Red Devils off the hook.
Ade Gardner forced a drop-out from which Costigan went close, but Rovers then messed up a drop-goal attempt moments before Chase's wind-assisted drop-goal came off the crossbar.
Craig Hall came off the bench to replace the injured Burns with one minute and 41 seconds remaining, hoping to replicate his derby heroics, but he didn't get the opportunity.
The final chance went to Salford, who could have won the game had Hock's pass to Mullaney gone into his hands instead of going to ground.
The point may well prove vital at the end of the season. However, already two points behind their total at the same stage last season, Rovers can ill-afford to let more winning positions slip if they are to start climbing the league ladder.
