Salford apologised for the behaviour of a section of their support after ugly scenes marred the end of their win at Huddersfield.
The Red Devils recorded a 26-24 victory over the Giants, but come the final whistle some of Salford's players were seen in the away end of the ground.
Photographs on Twitter showed winger Justin Carney and centre Junior S'au involved in apparently heated exchanges with some of the travelling fans.
There was no explanation offered from Salford at the post-match press conference, but on their official Twitter account they said: " We'd like to apologise for the behaviour of some of our fans today. We'll be working with @Giantsrl to find those involved. We do not condone any behaviour of the sort."
Press Association Sport contacted Salford, the Rugby Football League and West Yorkshire Police for further comment.
On the field, it was a day to savour for coach Ian Watson.
The lead changed hands no fewer than six times with two tries in the final 12 minutes finally deciding the issue and helping consolidate Salford's position in the top eight while condemning bottom club Huddersfield to a seventh defeat in eight games.
Watson said: "It was a great response to a defeat on Friday and we spoke in depth about what we needed to do after that game.
"We pride ourselves on our defence and the mentality of the guys to stick in there toady when it got tough and come through the other side.
"The Easter period is tough, backing up with two games in four days
"We have a good group of players who have belief in what they do and the conditioning they have done pre-season."
The Giants, who also lost at Wakefield three days beforehand, remain rooted to the foot of the table but their boss Paul Anderson refused to be too downhearted after a game where they savoured the majority of the possession, especially in the first half.
"We were way better than we were Friday but our defence is costing us," said Anderson.
"We have to stop missing one-on-one tackles and cut the individual errors out.
"The offence is not quite firing but we still scored 24 points which is enough to win games.
"I feel under pressure because I put it on myself and I'm not comfortable losing games - it's not something I'm used to.
"If we can cut out the mistakes and put in the same effort and take some of the opportunities we are creating we will get there."
High-profile new signing Ryan Brierley, making his home debut, switched from his accustomed half-back position to fullback and Anderson added: "He's played two positions for us already and acquitted himself well in both."
The Giants applied tremendous early pressure and were rewarded with tries from Ukuma Ta'ai and Jake Connor to lead 12-10 at the break.
Former Huddersfield prop Craig Kopczak and Gareth O'Brien replied for Salford and further tries in the second half, from Josh Griffin, another ex-Giant, Carney and Niall Evalds, plus three goals from Michael Dobson, proved enough to snatch both league points.
Jermaine McGillvary's fifth try in five games and sixth of the season and a second touchdown from the strong running Kiwi Ta'ai, plus four conversions from the notable boot of Danny Brough had the Giants leading 24-18 with 12 minutes to play but it was not enough.
Salford's one worry was a knee injury which brought a premature end to former London Broncos centre Mason Caton-Brown's first game of the season.
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