I did contact them. They claim that according to their accountant, it must be reported as income. I was also informed according to their accountant, that I can claim these expenses on schedule C.
The following is the response I received.
Thank you for the conversation this morning as we work to assist you with your 1099 question.
In speaking with our Finance team, although you were presented with a 1099 that included a total figure, you should only be taxed on the $210 amount of services, and not the $653.14 in receivables contributing to your reimbursement, as long as you have receipts for your reimbursements. If you have any questions as to how to complete your taxes, please seek the advice of a tax account as we cannot provide any tax advice.
In the event that you cannot find all those receipts, please let me know the dates and locations of those receipts in question and I will work with our team to try to recover any lost receipts.