Test.cs

    public class SomeFixture : IDisposable
    {
        private DockerClient client;

        public SomeFixture()
        {
            Console.WriteLine("SomeFixture ctor: This should only be run once");

            //Using https://github.com/ahmetalpbalkan/Docker.DotNet

            client = new DockerClientConfiguration(new Uri("tcp://10.0.1.43:2376")).CreateClient();

            Setup().Wait();
        }

        public void Dispose()
        {
            Console.WriteLine("SomeFixture: Disposing SomeFixture");

            StopContainer().Wait();
        }

        private async Task Setup()
        {
            var stream = await client.Images.CreateImageAsync(new CreateImageParameters()
                {
                    FromImage = "192.168.1.95:5000/mycontainer",
                    Tag = "latest",
                }, null);

            await client.Containers.StartContainerAsync("0a419b7732f5", null);
        }

        public async Task StopContainer()
        {
            var stopped = await client.Containers.StopContainerAsync("0a419b7732f5",
                              new StopContainerParameters()
                {
                    Wait = TimeSpan.FromSeconds(30)
                },
                              CancellationToken.None);


        }
    }

    public class Class1 : IUseFixture<SomeFixture>
    {
        [Fact]
        public async Task FirstTest()
        {
            using (HttpClient client = new HttpClient())
        	using (HttpResponseMessage response = await client.GetAsync("http://IP_OF_MY_SERVER_IN_DOCKER_CONTAINER/Foo"))
        	using (HttpContent content = response.Content)
        	{
        	    // ... Read the string.
        	    string result = await content.ReadAsStringAsync();
        
        	    Assert.NotNull(result);
        	}
        }
        
        [Fact]
        public async Task SecondTest()
        {
            using (HttpClient client = new HttpClient())
        	using (HttpResponseMessage response = await client.GetAsync("http://IP_OF_MY_SERVER_IN_DOCKER_CONTAINER/Bar"))
        	using (HttpContent content = response.Content)
        	{
        	    // ... Read the string.
        	    string result = await content.ReadAsStringAsync();
        
        	    Assert.NotNull(result);
        	}
        }
        
        public void SetFixture(SomeFixture data)
        {
            //IUseFixture method called before each test
        }

    }