As per my opinion, your contention is right but for this seperate bill requiered. but in this case, seperate bill is not raised.
for more clarification you may refer the judicial decesion for the reimbursement of expenses. Inthe said decision both section 194C and 194J are examine in the similar case and the decision are given.
in the said dicision the outcome is " if a accumulated bill is given by a professional/consultant for his fees as well as out of pocket expeases and or reimbursement of expenses, then the entire amount is subject to TDS. if a seperate bill is given for reimbursement of out of expenditure, the reimbursement of expenses is not subject to Tax Deduction."
Hope matter is now clarify.
Regards,
Mahesh Kumar