Arthur will not return to Juventus in January and could stay at Liverpool beyond this season, the midfielder's agent said.
Brazil international Arthur has played just 13 minutes for Liverpool since joining on loan from Juventus in September, being sidelined by a muscle injury that required surgery.
The 26-year-old is expected to return to action before the end of December, but recent reports suggested he may head back to his parent club next month.
However, agent Federico Pastorello has denied those claims and suggested there is a chance of Arthur staying at Anfield for the long term should his Juve future not be resolved.
"He will stay at Liverpool in January, 100 per cent," Pastorello told Tuttomercatoweb. "It's an aspect that has never been under discussion.
"I don't know who has started these rumours regarding a return to Turin, but that is not the case, absolutely. It is not foreseen in the contract and there is no possibility.
"Nobody has questioned his stay – not Liverpool nor Juventus. As far as next season is concerned, when the current one ends we'll see.
"If [Massimiliano] Allegri continues at Juve, a solution will have to be found. If Liverpool want to renew the loan or make an offer, I think they'll find fertile ground."
Liverpool have the right to buy Arthur, who previously spent two years with Barcelona prior to joining Juventus in June 2020. The option entails a reported £32.3million (€37.5m) fee to be paid at the end of the season.
The Gremio academy product was a surprise signing for Liverpool on deadline day in the past transfer window, and Pastorello has revealed how the move came about.
"The operation was born out of stubbornness to look for something," Pastorello said. "Liverpool had previously given signs of approval, but they didn't have space [in the squad]."
He said Liverpool made an approach when Jordan Henderson suffered an injury.
"It was the penultimate day of the transfer market. Liverpool called us saying they wanted to close the deal and from there we got down to business," the agent added. "We left for Liverpool on the last transfer day for visits and signings."
Arthur is one of 12 midfielders to have featured for Liverpool this season, yet they continue to be linked with the likes of Sofyan Amrabat, Enzo Fernandez and Jude Bellingham.
Jurgen Klopp's side return to competitive action on Thursday following the World Cup break with a trip to Manchester City in the last 16 of the EFL Cup.
Hoffenheim 1-1 RB Leipzig: Kramaric denies visitors after Simons red card
Andrej Kramaric scored a last-minute equaliser to deny RB Leipzig victory in Friday's 1-1 Bundesliga draw at Hoffenheim, in a game which saw Xavi Simons sent off.
Simons was shown his second yellow card with 18 minutes to play, with fourth-placed Leipzig 1-0 up courtesy of Benjamin Sesko's first-half header.
Marco Rose's team looked set to leapfrog Stuttgart into third ahead of Saturday's fixtures, but Kramaric – who had earlier been denied by a huge double save from Peter Gulasci – salvaged a point for the hosts with stoppage time mere seconds away.
While Leipzig missed the chance to move eight points clear of fifth-placed Borussia Dortmund, both teams will be playing Champions League football next season after Germany clinched a top-two place in UEFA's coefficient rankings this week.
Data Debrief: Flying full-back creates again
David Raum assisted Sesko's opener with a pinpoint cross, the eighth goal he has teed up in the Bundesliga this season. Seven of those have been headers, a joint-high tally among all players, alongside Borussia Monchengladbach's Franck Honorat.
Luton Town 1-1 Everton: Hatters squander opportunity to climb out of relegation zone
Luton Town missed an inviting chance to escape the Premier League's bottom three after Friday's hard-fought 1-1 draw with Everton at Kenilworth Road.
Rob Edwards' side would have leapfrogged 17th-placed Nottingham Forest – who visit Sheffield United on Saturday – with a victory, but were instead left level on points with Nuno Espirito Santo's team.
The fit-again Elijah Adebayo cancelled out Dominic Calvert-Lewin's 24th-minute penalty in an entertaining first half, though neither side could find a winner in an end-to-end second period.
Despite an encouraging performance, Luton – who almost snatched a late victory – stay 18th and below Forest on goal difference, while Everton remain 15th in the table.
A tense opening offered few opportunities as Dwight McNeil's left-wing cross deflected off Teden Mengi and forced Thomas Kaminski into a smart reflex stop, but Everton hit the front soon after.
VAR David Coote recommended a pitch-side review before referee Tim Robinson awarded a penalty for a needless Mengi pull on Jarrad Branthwaite's shirt from McNeil's corner, with Calvert-Lewin squeezing his spot-kick under Kaminski.
Yet Luton responded after 31 minutes when Adebayo ushered Ashley Young out of the way from Albert Sambi Lokonga's hanging delivery before swivelling to finish into the bottom-left corner.
Clear-cut chances remained sparse before Carlton Morris' looping header from Alfie Doughty's pinpoint back-post delivery was headed off the line by Ben Godfrey on the stroke of half-time.
Gabriel Osho curled a bending effort narrowly wide of Jordan Pickford's left-hand post shortly after the interval, while former Toffee Ross Barkley headed over from Tahith Chong's left-wing centre.
Jack Harrison's deflected effort almost caught Luton off-guard, though, as Kaminski produced an eye-catching stop before denying a thumping Calvert-Lewin header.
Luton laid siege to Everton's area in stoppage time, but the Toffees clung on, Pickford turning Luke Berry's header wide before a heroic Branthwaite block denied Andros Townsend a last-gasp winner against his former club.
Luton entertain without victory
Prior to Friday's match, Luton had won just one of their last 14 Premier League games (three draws, 10 defeats), with no side picking up fewer points than the Hatters since the start of this run (six).
Edwards' winless misery was further compounded when Mengi's mindless foul on Branthwaite afforded Everton their opener, yet Luton responded to keep their hopes of Premier League safety alive and cement their status among the competition's entertainers.
Luton have both scored and conceded in 29 of their 36 Premier League games this season, a joint-record by any side in a single campaign in the competition, along with Swindon Town in 1993-94 and Southampton in 1994-95.
Everton not resting on laurels
Everton could have been forgiven for letting this game pass them by, having already secured their top-flight status with three straight victories over Forest, Liverpool and Brentford.
Yet the Toffees started well and were good value for their lead as Calvert-Lewin scored his fourth goal in his last five Premier League appearances, as many as he managed in his previous 38.
Some disappointing defending for Adebayo's leveller may frustrate Sean Dyche, but his side still made it four games unbeaten since their 6-0 hammering at Chelsea in the middle of April.
Everyone wants to beat Leverkusen, says Alonso ahead of Frankfurt clash
Bayer Leverkusen continue to edge towards a remarkable unbeaten season and Xabi Alonso acknowledged every club wants to put that run to an end.
The newly-crowned Bundesliga champions moved a step closer to a treble after beating Roma 2-0 away in their Europa League semi-final first leg on Thursday.
Alonso's side have also reached the DFB-Pokal final against Kaiserslautern as their extraordinary 47-game unbeaten run continues across all competitions.
Leverkusen, who ended Bayern Munich's 11-year stranglehold on the Bundesliga title to secure their first trophy since 1993, travel to sixth-placed Eintracht Frankfurt on Sunday.
"We want to stay unbeaten and we know every week it gets tougher. Everyone wants to beat us," Alonso told reporters.
"It hasn't been easy in Frankfurt in recent years, they've always a tough opponent with a flexible system of play. We don't have much time to prepare."
The 42-year-old Spaniard will be watching the Frankfurt game from the stands after receiving his fourth yellow card of the season during his side's 2-2 home draw with Stuttgart last week.
"You can see the game better from the stands and I can communicate with the bench," he said.
"I will miss the direct contact with the team during the game but the players are intelligent enough to decide situations individually on the pitch."
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