Almiron has scored in each of the last two games as the team consolidated their position in the top four.
The forward scored his seventh goal in seven games in the second half to give the visitors a 2-0 lead.
Chris Wood came off the bench and fired into the corner to give the visitors a 2-0 lead.
The hosts were punished further when Joe Willock finished a quick counter attack with an accurate finish.
From that point, it looked like the streak would be extended.
Bruno Guimaraes restored the three-goal advantage with a superb curler after the Saints had pulled a goal back.
The Saints will finish the weekend third from bottom after only winning one match in the past eight.
Eddie Howe's first anniversary in charge was celebrated by the city ofNewcastle.
On Tuesday, it will be a year since former Bournemouth boss Howe took over and the mood was positive during this win.
Howe has led a remarkable transformation.
After 11 games last season, he was in charge of the 19th-ranked team and they were five points from safety.
They are mounting a challenge for Europe's top club competition next season, while Manchester City is considered a title contender.
Almiron has typified the improvement of the club.
In the last few weeks, he has been one of the stars, driving the team forward with intelligent runs and scoring a hatful of eye-catching goals.
His thriving confidence was demonstrated by the opener atSouthampton.
He burst forward with purpose and showed determination to hold off a challenge from Maitland-Niles before finding the bottom corner with the first shot on target.
The visitors were able to go on and earn the win because of that.
Howe said that his side's performance wasn't at the same heights as previous weeks.
It shows how high expectations have risen after a win.
There's more to come.