2011 WSBK champion Checa, who finished fourth in the championship this year, was confirmed as part of the deal while 2010 Superstock 1000 champion Badovini, who has started 85 WSBK races, moves from BMW Italia.
The Belgian team took a sabbatical in 2012 following the end of their previous partnership with Suzuki in 2010, which yielded the 2005 title for Troy Corser.
Team Alstare boss Francis Batta was pleased to renew a partnership that brought excellent results from 1995-1997. It will initially last for two seasons.
“For me, it's an absolute thrill to be able to join the Ducati family again. Together we were so successful in the past and Ducati remains a reference brand for me today," he said.
"We are going to face a challenge which is highly stimulating both for me and for my team and we will apply our absolute best efforts to making sure this is a successful endeavour."
Ducati engineer and technical director Ernesto Marinelli was equally enthused.
“We are very happy and confident with this agreement,” he said. "The professionalism, passion and sporting character of Francis Batta and all his staff, together with his structure, which sets an industry standard in terms of equipment and organisation, are vital elements for our future plans.
"We have a lot of work to do, and I am sure that we are able to do it in the best possible way."
The new 1199 Panigale will first be tested at pre-winter tests scheduled to begin in Aragon on November 14-15, with further tests in Jerez from November 28-30.