Qatar’s Nasser Saleh Al Attiyah is chasing a sixth victory in his home FIA event in eight years.
Qatar’s Adel Abdulla and Ahmed Al-Kuwari face fierce T3 competition.
The team had already announced they would not be ready for Monday's opening day of tests and deputy team principal Claire Williams said they will now miss Tuesday's session as well.
The opening round of the 2019 FIA World Cup for Cross-Country Rallies takes place in Qatar from February 21 to 26.
Claire Williams, deputy team principal, said on Sunday: "Unfortunately, we have had to delay the start of our pre-season Barcelona test to Tuesday morning.
The French driver left the road after 16 kilometres of the 24.8km second special of the day and ran his Citroen into a snow bank.
The rally gets underway with a ceremonial start on The Pearl-Qatar on February 21st.
The 34-year-old won 11 of the 21 races in 2018 to beat Ferrari's Sebastian Vettel and secure his fifth championship with two rounds to spare.
QMMF announces route details for new-look Manateq Qatar International Rally.
The Honda S2000 driver was in a league of his own, winning the title with a round to go.
Jassim Al Thani clinches QSTK championship
The MotoGP riders will head to Qatar for the final three-day test from February 23 at Losail International Circuit.
Marc Marquez slipped from first to eighth, complaining of pain from his left shoulder after surgery in December.
The MotoGP season starts in Qatar on March 10
Alfa Romeo had already been the title sponsor of Sauber last year when the team was known as Alfa Romeo Sauber F1 team.