FetchMessage (~100Mb) from Exchange Server

Hi,
I'm fetching messages from an Exchange Server mailbox. This works fine as long as the size of the messages (their attachments) is not too big.
Recently I had to process a message of approx. 100Mb in size, which failed, resulting in a OutOfMemoryException (see attached file for stacktrace).

I'm using the following code:
---
NetworkCredential credential = new NetworkCredential(<username>, <password>, <domain>);
IEWSClient client = EWSClient.GetEWSClient(<uri>, credential);
ExchangeMessageInfoCollection msgs = client.ListMessages(client.MailboxInfo.InboxUri, true);
foreach (ExchangeMessageInfo msgInfo in msgs)
{
    try
    {
         MailMessage msg = client.FetchMessage(msgInfo.UniqueUri);
     }
     catch (OutOfMemoryException e)
     {
          logger.error(e.ToString());
     }
}
---

Question is how to process such large messages.