"while meeting" is correct and usable in written English.
You can use it to denote an ongoing event, action, or process. For example, "We discussed many topics of interest while meeting at the library."
Achieving profitability while meeting personal and business goals is stressed.
"Many farms have diversified themselves while meeting the Greenmarket's rules".
While meeting his actors, Mr. Martin faced his first crisis.
To satisfy personal needs while meeting others' needs.
The scenario that achieves the minimum cost while meeting the load requirement was selected.
Integration while meeting the required local error proceeds with constant-sized steps.
Stirred tank bioreactors facilitate growth of human mesenchymal stromal cells (hMSC) while meeting these needs.
A new algorithm is presented for scheduling that can maximize timber harvest while meeting spatial constraints.
The problem is keeping humans safe while meeting the animals' needs.
After all, a politician was shot in the head while meeting with constituents.
Smiling and joking, Mr. Chávez made the broadcast while meeting with several cabinet members.
