Modx login and multiple contexts

Dear colleagues,
Our company is developing web sites, based on modx for years.
This is one of the best CMS I ever used
And your community is one of the most valuable sources of information and additions for modx.
My question is related to multilingual modx revolution (2.3) site, based on context switching and Login (Login module).
I was fighting for hours to make the login work for all the frontend contexts.

The multilingual implementation is not with subdomains, but with «folders»
domain.tld/bg/ domain.tld/en/…

Adding &contexts parameter to Login call didn't help

I found some threads in modx forums, which didn't help either.

I managed to make it work, by adding following code to index.php

switch ($_REQUEST['cultureKey']) {
        case 'en':
            $modx->initialize('en');
            break;
        case 'it':
            $modx->initialize('it');
            break;
        default:
            $modx->initialize('web');
            break;
    }

But the login is per context (You have to login to each context separately).
Do you have an idea how can I achieve single login to all frontend contexts.
I would expect such a solution will be useful for other people as well.

Sorry that I'm posting in English, my Russian writing skills are a bit rusty, but you can answer in Russian.

Kind Regards,

[[!Login?
	&contexts=`web,en,it`
]]