This is strange.
Solder is the material to solder things together and solder is the verb for doing it.
Never heard anything about those words until now 
In French, "souder" is when you attach together two things but it's the act of attaching them.
If you use solder wire the world becomes "brasure" and doing it the verb is "brasurer"
The wire can be called "fil a souder" or "fil a brasure". You "brasure" the two parts to "souder" them together.
We have a very specific verb and noun to design the act of using soldering wire and soldering components and wires in French.
To expand on what you are describing, there are in English some specific technical details:
"To solder" is to join two pieces using solder wire as a filler metal, and this process is conducted at lower temperatures (generally the metal is not red hot).
"To braze" is to join two pieces using brazing rod as a filler metal, and this process is conducted at higher temperatures (generally red hot).
"To weld" is to join two pieces, probably using welding rod, where the metal being joined actually melts as part of the join.
Even soldering has two variations:
"Soft soldering" is conducted at very low temperatures, as in electronics.
"Hard soldering" or "silver soldering" is conducted at higher temperatures, usually with a gas torch, and is similar to brazing. It is used for mechanical joins, not electrical joints.