Kelly signed from Newcastle United with an obligation to buy if certain conditions are met, while Veiga arrived on loan from Chelsea.
Juventus forked out an initial €3.55 million (US$3.9m) for Kelly, which would rise to €23.75m (US$25.85m) if the club earns a place in either the Champions League, Conference League or Europa League.
A top six Serie A finish would secure a berth in European competition, with failure likely to result in Kelly returning to Newcastle and head coach Thiago Motta sacked.
Less than magnificent seven
Kelly, who arrived at Newcastle on a freebie from AFC Bournemouth last summer, has failed to impress in his seven Juve appearances and is already rumoured to be dropped with Next Gen starlets ready to fill his boots.
These are tough times in Turin for Juventus fans, who have endured three early cup exits and back-to-back league thrashings as the club sit fifth with nine matches remaining.
Motta is on thin ice and faces a tough challenge when in-form Genoa, who have only lost once in six matches, visit the Allianz Stadium on 29 March.
Florence flops Kelly and Veiga
Juve’s last defeat, humbled 3-0 by Fiorentina, saw Kelly and Veiga hauled off midway through the second half. Their individual dismal displays leave a massive question mark as to whether either will get another shot to sport a Juventus jersey this term.
Veiga made a bright start to life in Italy, with the 21-year-old solid as a stop gap loanee for injured Gleison Bremer.
His return to action, following a muscle injury against PSV Eindhoven in the Champions League, was so dire in Florence that Juve are no longer keen to keep the Portuguese international.
With Bremer and fellow defender Juan Cabal sidelined all season, Motta has compiled an extensive wishlist of defenders.
If any of these transfer targets materialize, it could result in the club not making Pierre Kalulu’s move from AC Milan permanent ahead of the 2025 FIFA Club World Cup in June and July.