Thuram's early goal was cancelled out by Remo Freuler's second-half equalizer as the two clubs chasing a top four finish battled it out inside the jam-packed Stadio Renato Dall'Ara on Sunday.
It looks like the writing is on the wall for FC Porto loanee Francisco Conceicao, who was overlooked to replace suspended attacker Kenan Yildiz. AC Milan and AS Roma are now interested in the Portuguese winger.
The ever industrious Weston McKennie was took over Yildiz's role, while Nicolo Savona dropped in the back three line-up as the visitors only had two fit center-backs.
Bologna pressured from start
With Juve having dropped down the Serie A table to sixth following victories on Sunday for AS Roma and Lazio, it was no surprise that they burst out the traps from kick-off.
Andrea Cambiaso, who is on the summer transfer radar of Liverpool and Manchester City, flicked the ball to unmarked Thuram whose long-range drive was mishandled by 'keeper Lukasz Skorupski to earn Juventus a ninth-minute lead.
There was an uproar from Bologna fans after McKennie clumsily bundled over Freuler from behind inside the box, the ref waved on play despite penalty appeals. The home bench were fuming, with a member of the Bologna technical staff sent to the stands for dissent.
Riccardo Orsolini was lively thoroughout, but Savona kept him in his pocket and headed away the biggest danger from the former Juve Primavera ace on 38 minutes.
Juve's obvious offsides
Juve were in command throughout the opening half and found the back of the net just before the interval, but Nico Gonzalez was clearly offside.
Another blatent offside, this time from Cambiaso on 50 minutes, saw Juve beat Skorupski. It was strange that the game paused for a VAR review.
The delay allowed Bologna to calm their nerves, and they soared down the other end of the pitch to snatch a 54th-minute equalizer. Nicolo Cambiaghi's cross from the left flank was headed to the feet of Freuler by Thijs Dallinga. Freuler 12-yarder deflected off Renato Veiga to beat Michele Di Gregorio.
Juventus substitute Alberto Costa fluffed his chance in the box, slipping as he shot in the goalmouth melee and that glaring miss almost proved costly in stoppage time. Cambiaghi had the goal at his mercy from a corner, but he hesitated and lost the ball. The loose ball fell kindly for Lewis Ferguson, but his effort sailed over the target.
Race hots up
There is now a four-team race for to finish behind the current top three of Atalanta, Inter Milan and Napoli to secure the final Champions League berth. Juventus lie fourth, just a point above in-form AS Roma, Bologna and Lazio.
Tudor said at the post-match press conference: “We played a solid game, in a tough setting and on a pitch where everyone suffered. We lacked fluidity in our final ball, but overall I'm satisfied.
"There are many teams in the battle, whoever has more desire and more quality will qualify for the Champions League. Nothing is decided, and I don't think it will be even after next Saturday [when Juventus visit Lazio]."