The club had a training session after which both Messi and Neto were given "all clear" by the medical staff.
"Once the session was complete, both Messi and Neto were given the all clear by medical staff and were included in the squad for the trip to Germany," the statement added.
However, O. Dembele and Umtiti missed out due to injury.
The 22-man squad is as follow Ter Stegen, N. Semedo, Pique, I. Rakitic, Sergio, Todibo, Arthur, Suarez, Messi, Neto, Lenglet, M. Wague, Griezmann, Jordi Alba, Alena, S. Roberto, F. De Jong, Vidal, Junior, Inaki Pena, C. Perez and Ansu Fati.
Barcelona will compete against Borussia Dortmund in Champions League on September 18.