The Argentine coach was agonisingly short of ending Leeds Premier League exile, the Yorkshire side suffering heartbreaking defeats during the championship climax before bowing out in the play-offs to Derby County.
Bielsa raised question marks about whether he would remain at the club in the aftermath of that failure as he took responsibility for his teams late collapse.
But Leeds chiefs have been determined to retain his services since the end of their campaign. Although Bielsas side blew a golden opportunity to return to the top flight, the scale of the improvement in their overall performance was exceptional and probably exceeded pre-season expectations.
If he can maintain that upward trajectory, Leeds are sure to be among the favourites for promotion next season.
Talks have been ongoing between Bielsa and Leeds director of football Victor Orta, and although further conversations are to be had, those working within the club are more positive about retaining the 63-year-old.
It was a coup for Leeds to secure Bielsa last summer and the demand for his services has only enhanced due to his work in England, numerous clubs admiring the manner in which he has created an idealistic brand of football.
There are suggestions Roma are interested in luring Bielsa to Italian football, but the coach spoke last season of the challenge of trying to impose his vision on English football.
Marcelo Bielsas side fell to a 4-3 aggregate defeat to the Rams on Wednesday evening at Elland Road, which brought dreams of a return to the Premier League to an abrupt end under the Argentine.
Had Leeds been promoted, it would have been intriguing to see how Bielsas methods would have worked in the top flight.
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Bielsas current Leeds deal enables the club to trigger a 12 month extension – but there was an agreement within that enabling him to terminate the arrangement if he felt he could take the team no further.
The coach is due to return to South America for a summer break over the next few days, so Leeds fans will be hoping for clarity before then.
Since becoming manager, Bielsa has transformed the footballing approach at Elland Road and taken a hands-on approach with every detail, including overseeing changes to the changing ground.
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An enigmatic figure, he courted controversy during the season when openly admitting engaging in covert surveillance of opposing teams – spygate as it came to be referred – when a member of his coaching team was caught watching Derby Countys training.
Bielsa famously called a press conference to admit the offence, attributing the indiscretion to cultural differences as such methods are more common in other countries he has worked.
The incident came back to haunt him and Leeds at the end of the season when – with inevitable irony – Derby ended Bielsas promotion dream.
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Leeds will go into the pre-season feeling uplifted should, as anticipated, Bielsa commit to another year.
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Bielsa met with United director of football Victor Orta over the weekend and sources close to the Argentinian have told the YEP that he is poised to agree to a second season in charge of the club.
Italian side Roma were linked with Bielsa over the weekend after their caretaker manager, Claudio Ranieri, confirmed that he would step aside after two months in the post.
Leeds, though, have had positive dialogue with Bielsa since their defeat in the Championship play-off semi-finals and both sides appear increasingly optimistic that an extension to his deal will be finalised before he travels home to Argentina for a summer break.
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Bielsas contract, which was negotiated over several weeks last summer, gives Leeds the right to extend it by a further 12 months following his first season in charge but the club also struck a gentlemans agreement allowing the former Argentina and Chile coach to quit if he no longer felt willing to continue in the job.
Talks have already taken place about fresh changes to the clubs Thorp Arch training ground recommended by Bielsa, including more relaxation facilities for his senior squad.
Leeds are confident that they can meet Bielsas demands for next season, their 16th successive year in the EFL. Further talks will take place over the course of this week.
Bielsa came close to breaking the clubs Premier League exile at the first attempt but saw Leeds fall to a 4-3 aggregate defeat to Derby in the play-off semi-finals last Wednesday.
Uniteds squad have gone their separate ways after meeting at Thorp Arch on Thursday morning and will return for the start of pre-season training towards the end of next month.