REST API插入的WooCommerce产品WPML翻译不包括原始产品的变体

Question

Unfortunately I'm working with wordpress and woocommerce, what I'm trying to accomplish is to insert products and relative translations using the woocommerce REST API, here's the scenario:

• First, i create a simple product

{
 "name": "Dummy",
 "type": "variable",
 "attributes": [
     {
         "id": 2,
         "name": "Color",
         "position": 1,
         "variation": "true",
         "options": [
             "Bianco",
             "Nero"
         ]
     },
     {
         "id": 3,
         "name": "Size",
         "position": 2,
         "variation": "true",
         "options": [
             "A",
             "B",
             "C"
         ]
     }
 ]
}

This is a variable product, so I need to create its variations as well The product created return its id, let's say 10

• Then I create several product variations like this:

{
    "regular_price": "10.10",
    "stock_quantity": 10,
    "attributes": [
        {
            "id": 2,
            "name": "Color",
            "option": "Bianco"
        },
        {
            "id": 3,
            "name": "Size",
            "option": "A"
        }
    ]
}

• So I have a product with variations, now i want to create a translation of the product with wpml, according to wmpl rest api specifications, I create a product translation like this:

{
    "name": "Dummy en",
    "type": "variable",
    "lang": "en",
    "translation_of": 10
}

• I specified the language en, the main language is it
• I included translation_of with the id of the original product

What happens is that the english product is created, but without variations

What I have tried:

• Several issues similar to this are solved by the troubleshooting page of wpml, where I can generate missing variations but I need this to be done automatically, products are created automatically, so relative translations too must be
• If I enter product page from wordpress back end and I press the update button, variations are created and adjusted, this word for the original product and the variation, but again, I need this to be done automatically
• I tried to modify and insert the translation in almost all ways, adding/removing sku, id, attributes, categories ecc.

Any hints? Thanks