I believe that you will need to use the /_msearch API for this, to get back the different results.
Here's an example that I hope makes things clear, first some fake data:
PUT /i/d/1
{
  "shop_name" : "Armani",
  "country" : "italy",
  "city": "milan",
  "relevance" : 10
}
PUT /i/d/2
{
  "shop_name" : "Shop2",
  "country" : "italy",
  "city": "milan",
  "relevance" : 5
}
PUT /i/d/3
{
  "shop_name" : "Store3",
  "country" : "italy",
  "city": "campione",
  "relevance" : 12
}
PUT /i/d/3
{
  "shop_name" : "Store4",
  "country" : "italy",
  "city": "campione",
  "relevance" : 3
}
PUT /i/d/4
{
  "shop_name" : "Store5",
  "country" : "switzerland",
  "city": "lugano",
  "relevance" : 10
}
PUT /i/d/5
{
  "shop_name" : "Store6",
  "country" : "switzerland",
  "city": "lugano",
  "relevance" : 18
}
The query you'll execute then:
POST /i/_msearch
{}
{"query": {"match": {"city": "milan"}}, "size": 10, "sort": {"relevance": {"order": "desc"}}}
{}
{"query": {"match": {"country": "italy"}}, "size": 5, "sort": {"relevance": {"order": "desc"}}}
{}
{"query": {"match_all": {}}, "size": 5, "sort": {"relevance": {"order": "desc"}}}
And then, the results you get back from the /_msearch, which I believe is what you are looking for:
{
  "responses" : [
    {
      "took" : 81,
      "timed_out" : false,
      "_shards" : {
        "total" : 5,
        "successful" : 5,
        "failed" : 0
      },
      "hits" : {
        "total" : 2,
        "max_score" : null,
        "hits" : [
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "1",
            "_score" : null,
            "_source" : {
              "shop_name" : "Armani",
              "country" : "italy",
              "city" : "milan",
              "relevance" : 10
            },
            "sort" : [
              10
            ]
          },
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "2",
            "_score" : null,
            "_source" : {
              "shop_name" : "Shop2",
              "country" : "italy",
              "city" : "milan",
              "relevance" : 5
            },
            "sort" : [
              5
            ]
          }
        ]
      },
      "status" : 200
    },
    {
      "took" : 76,
      "timed_out" : false,
      "_shards" : {
        "total" : 5,
        "successful" : 5,
        "failed" : 0
      },
      "hits" : {
        "total" : 3,
        "max_score" : null,
        "hits" : [
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "1",
            "_score" : null,
            "_source" : {
              "shop_name" : "Armani",
              "country" : "italy",
              "city" : "milan",
              "relevance" : 10
            },
            "sort" : [
              10
            ]
          },
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "2",
            "_score" : null,
            "_source" : {
              "shop_name" : "Shop2",
              "country" : "italy",
              "city" : "milan",
              "relevance" : 5
            },
            "sort" : [
              5
            ]
          },
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "3",
            "_score" : null,
            "_source" : {
              "shop_name" : "Store4",
              "country" : "italy",
              "city" : "campione",
              "relevance" : 3
            },
            "sort" : [
              3
            ]
          }
        ]
      },
      "status" : 200
    },
    {
      "took" : 74,
      "timed_out" : false,
      "_shards" : {
        "total" : 5,
        "successful" : 5,
        "failed" : 0
      },
      "hits" : {
        "total" : 5,
        "max_score" : null,
        "hits" : [
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "5",
            "_score" : null,
            "_source" : {
              "shop_name" : "Store6",
              "country" : "switzerland",
              "city" : "lugano",
              "relevance" : 18
            },
            "sort" : [
              18
            ]
          },
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "4",
            "_score" : null,
            "_source" : {
              "shop_name" : "Store5",
              "country" : "switzerland",
              "city" : "lugano",
              "relevance" : 10
            },
            "sort" : [
              10
            ]
          },
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "1",
            "_score" : null,
            "_source" : {
              "shop_name" : "Armani",
              "country" : "italy",
              "city" : "milan",
              "relevance" : 10
            },
            "sort" : [
              10
            ]
          },
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "2",
            "_score" : null,
            "_source" : {
              "shop_name" : "Shop2",
              "country" : "italy",
              "city" : "milan",
              "relevance" : 5
            },
            "sort" : [
              5
            ]
          },
          {
            "_index" : "i",
            "_type" : "d",
            "_id" : "3",
            "_score" : null,
            "_source" : {
              "shop_name" : "Store4",
              "country" : "italy",
              "city" : "campione",
              "relevance" : 3
            },
            "sort" : [
              3
            ]
          }
        ]
      },
      "status" : 200
    }
  ]
}
Hope that helps!