We want to send the following htm file as body: via D-XE and Indy TIdMessage components
<html> <head> <meta http-equiv=Content-Type content="text/html; charset=windows-1253"> <meta name=Generator content="Microsoft Word 12 (filtered)"> <style> </style> </head> <body bgcolor=white lang=EL> <div class=Section1> <p class=MsoNormal><span lang=EN-US style='font-family:"Tahoma","sans-serif"'>Abcd</span><span lang=EN-US style='font-family:"Tahoma","sans-serif"'> </span><span style='font-family:"Tahoma","sans-serif"'>αβγδ άᾶὰἂ </span></p> </div> </body> </html>
(Well, the actual file is different, but the problem is the same).
In the above file, if you save it as temp.htm and upload it to Internet Explorer, you will see 4 Latin characters, 4 Greek characters without a tone and 4 Greek characters with a tone (Alpha variants are the first letter of the Greek alphabet). Something like that:
Abcd αβγδ άᾶὰἂ
So far so good.
If we upload the above file to the TIdMessage property of the TIdMessage and send it by email, it will look like this:
Abcd ????? ᾶὰἂ
As you can see, the Greek letters from the monotonous alphabet are replaced by ????? - Tested with Mozilla Thunderbird 3 on WinXP.
The properties of the TIdMessage component TIdMessage as follows:

I tried installing CharSet on Windows-1253 , but no luck.
Any ideas how this might work?
UPDATE:
Answering your questions:
Source of the raw message after it was received: (email addresses have been edited)
From - Thu Sep 15 11:11:06 2011 X-Account-Key: account3 X-UIDL: 00007715 X-Mozilla-Status: 0001 X-Mozilla-Status2: 00400000 X-Mozilla-Keys: Return-Path: [redacted] X-Envelope-To: [redacted] X-Spam-Status: No, hits=0.0 required=5.0 tests=AWL: 0.194,BAYES_20: -0.73,HTML_MESSAGE: 0.001, MIME_HEADER_CTYPE_ONLY: 0.56,MIME_HTML_ONLY: 0.001,MISSING_MID: 0.001, CUSTOM_RULE_FROM: ALLOW,TOTAL_SCORE: 0.027,autolearn=no X-Spam-Level: Received: from localhost ([127.0.0.1]) by [redacted] for [redacted]; Thu, 15 Sep 2011 11:10:59 +0300 From: [redacted] Subject: Test msg To: [redacted] Content-Type: text/html; charset=us-ascii Sender: [redacted] Reply-To: [redacted] Disposition-Notification-To: [redacted] Return-Receipt-To: [redacted] Date: Thu, 15 Sep 2011 11:10:59 +0300 <html> <head> <meta http-equiv=Content-Type content="text/html; charset=windows-1253"> <meta name=Generator content="Microsoft Word 12 (filtered)"> <style> </style> </head> <body bgcolor=white lang=EL> <div class=Section1> <p class=MsoNormal><span lang=EN-US style='font-family:"Tahoma","sans-serif"'>Abcd</span><span lang=EN-US style='font-family:"Tahoma","sans-serif"'> </span><span style='font-family:"Tahoma","sans-serif"'>???? ?ᾶὰἂ </span></p> </div> </body> </html>
Mozilla Thunderbird also says Message Encoding: Western (ISO-8859-1) . I tried to put different encodings in the IdMessage tag, such as windows-1253 (Greek) or UTF-8 - the result was the same. Also, I tried converting the htm file to UTF-8 (using Notepad ++) - it looked the same (I changed the encoding manually in html meta info). Sent a message again. Result: Abcd ??? 2? 3 ???? ᾶὰἂ