After a fairly significant concession from the French government over the weekend on its proposed pension reforms, unions have been having internal meetings on Monday and will be meeting labour minister Muriel Pénicaud on Tuesday.
But however well those meetings go, there is still strike action on Tuesday as the dispute enters day 41.
Here's a look at what is happening.
— SNCF (@SNCF) January 13, 2020
On the railways there is – for the first time since December 4th – a 'quasi normal' service on trains running on the budget Ouigo routes.
On the high speed TGV routes eight out of 10 of the normal services are running.
Half the normal Intercité routes are running and three quarters of the local TER services. The suburban Transilien trains, meanwhile, is running seven out of 10 of their normal services.
In recent days both rail services and public transport in Paris have improved. French workers are not paid during strikes and as the dispute drags on many can no longer sustain the financial hit of more than a month without pay.
The same general pattern is seen in Paris, where services have once again improved, although there is still disruption.
Once again all Metro lines are running although only lines 1 and 14 – which are automated – are running a full service.
Lines 3, 4, 5, 6, 7, 7bis, 9 and 12 are running rush hour only – 6.30am to 9.30am and 4.30pm to 7.30pm.
Lines 2 and 10 are running all day, lines 8 and 11 are running from 6.30am to 7.30pm and 7pm respectively.
Line 3bis is running from 7am to 6pm and line 13 is running from 5.30am to 11am.
All the above lines are running fewer than normal trains and many stations on the lines remain shut.
All tram lines are back to running a normal service and the RER suburban trains are running all day, but with fewer services than normal.
The RER line B service from Charles de Gaulle airport stops at Gare du Nord.
Overall four out of five of the usual bus services are running.
Flights have not been affected since the start of the strike in early December, but this could change on Tuesday with the announcement that the air traffic controllers who are members of the USAC-CGT union will be taking strike action.
Retraites : grève dans l'aviation civile les 14, 15 et 16 janvier https://t.co/ZLGtEVy45F
— USACcgt (@usac_cgt) January 13, 2020
The union does not represent the majority of French air traffic controllers, however, so the impact on flights is likely to be fairly minimal. Anyone who has a flight booked is advised to check with their airline.
Teaching unions have also called for one-day strikes on Tuesday and Thursday this week, so parents face potential school closures or the loss of after school clubs or activities.