Reconstructing World Cup results

It's interesting that the answer is unique, given that it's from a real game.

The answer is:

Let's start by finding out the outcomes (win/draw/lose).

Since the sum of points is 16,

and based on the individual points modulo 3,

Then we can deduce that

Now Belgium has a win against Russia, which must be

And Japan has two wins with the goal difference of 3, so the individual matches must be

At this point, we can start building equations:

Then, from the individual earned and lost goals for each team,

Now, the following observation gives the answer:

I want to present a different solution based more on logical deduction and football knowledge.

First, we know that:

From this we can deduce the results:

Now we can start to look at the goals, starting with Belgium:

Next we can look at the remaining three teams:

Final results:

Since each team played 3 games, we can work out their Win-Loss-Draw record without too much difficulty from their number of points

The only one that is a priori ambiguous is Russia; however

We can now work out the results (if not the scores) of each tie:

Draws impose the strictest condition on number of goals: the goals scored by opposing teams must be equal. So let us consider draws first.

Russia's remaining game is

The final match is