Thanks for the explanation for the reformulation (that’s a reasonable usage).
First : the coastline defines the upper limit of the maritime influence. The rivers goes the other direction, down to the low-tide limit. The current river limits are probably fine(well it should go down to the mouth). The issue is with the coastline.
Second, that the basics.
Here we go in more details: Coastline - OpenStreetMap Wiki
The upper limit is in OpenStreetMap the Mean high water springs (MHWS) – The average of the two high tides on the days of spring tides. Self-explaining, isn’t it? 
More readable Wikipedia definition
Mean high water springs (MHWS) is the averaged highest level that spring tides reach over many years (often the last 19 years). Within this, to ensure anomalous levels are tempered, at least two successive high waters during the highest-tide 24 hours are taken.[16]
Such a local level is generally close to the “high water mark” where debris accumulates on a tidal shore on about two days six months apart (and nearby days) annually. The levels are local as some places are nearer to or form places of almost no tides in and around each ocean (amphidromic points).
Source: Chart datum - Wikipedia
Depending on country, the coastline on official maps may use HAT (Highest astronomical tides, like France), MHWS, MWS (Mean water spring). The country may publish the sea-land limits (including in the rivers). France does. italy maybe as well.
A good source for MHWS in Europe is EMODnet Bathymetry, I’ve selected MHW and OSM, so you see the difference.
You may check on ENC IT400115 (electronic navigational chart - Approach to La Spezia) or 115 INT 3364 (paper chart - Litorale della Spezia) where the put the limit (check for copyrights, probably you should use this source only for verification).
For the estuary you can also check the direction of the river, the salinity, the plants growing, nothing 100 % sure. Some information may be public (salinity limit for instance).
You may have specific laws for maritime coast, so you may see that a commune being considered as coastal, you have to have some coastline there.