From your website, newsletters, or other channels, you can use the URL shortener from Meta (Instagram) to redirect clients to a conversation in your instagram.

When a client starts a new conversation or continues an existing conversation with your Instagram account, using an ig.me link, the client will be redirected to a new/existing conversation with that Instagram account.

To create the link, use the format https://ig.me/m/USERNAME where USERNAME is the username or @ for the Instagram account.

In the example below, an email is sent with an ig.me link, and from a phone you can directly log in and open the conversation:

You can find more information in this article from Meta.

Note: The ig.me link is currently only compatible with the v210 versions of the app and later and does not work from a desktop, just from a mobile device.