Export the .eml file to a PST file,
May I suggest to export a eml file to a PST file or msg files, or export and save to a selected folder in PST.
thank you.

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John Maxwell commented
I highly recommend the TrustVare EML to PST Converter for exporting EML files to a PST file. This safe method can convert an EML file, along with its to, cc, bcc, subject, date, and other attachments, into PST format without changing the email formatting. It also has a batch conversion feature that lets you convert bulk EML files in a few minutes. It lets you see the email before converting it. You can use this tool without worrying about losing any data. It is also a stand-alone tool that doesn't need Outlook or any external apps. You can use this tool on Windows and try out its free demo to view its capabilities.
Visit here: https://www.trustvare.com/eml/pst/
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Amelia Roberts commented
Several programs are available to export the EML files to a PST file, but I advise you to use the GainTools EML to PST Converter. The sophisticated features and straightforward user interface of this program define it as the most reliable solution. This program allows you to quickly convert EML files to PST with attachments easily, without Outlook. This utility's sophisticated, easy-to-use features allow technical and non-technical users. It lets users export EML files into PST format, which is available on all Outlook versions—including 2003, 2007, 2010, 2013, 2016, 2019, and others.
Visit here: https://www.gaintools.com/eml/pst/