Tds deducted by client on reimbursement bills

I have raised a reimbursement bill (Salary+conveyance) seprately with supporting documents to my client without charging service tax as it is not my income it's reimbursement. I have raised a seprate professional fees invoice after charging service tax. 

Now when I received the payment against the reimbursement, I have noticed that they have deducted TDS from reimbursement bill.

Is it right to deduct the TDS from reimbursement bill, so now when they have deducted TDS, I have raised the seprate service tax bill on those reimbursement bills but client is not paying it. 

What should I do in this situation because it's not our fault if they have deducted TDS from reimbursement bill.

Please guide.