Hi and welcome! Beautiful glass bowl and vase. I love the red glass. It looks like your vase is vertically ribbed and the bowl is spiral. Several companies made the ruby glass. The most famous are Barovier & Toso, Salviati, and AVeM, but there may be more recent pieces. The Venetian glass is copied by glassmakers who admire the work.
Murano glass tends to have a certain look, but it can be hard to draw sharp lines between countries in the appearance of the glass. There was exchange in people making the glass and exchange of the glass itself. For example, Salviati sold blanks to Moser of Austria (later Czech) around the turn of the century. Moser decorated them. Some of the decorated pieces are in the catalogs of both companies -- completely okay, because they both played a part in the making. I noticed that some Moser designs are sold in Venice glass stores at the present time. I don't know if they are local copies or if Moser made them for sale.
About Chalet glass -- the thing I look for in this glass is transparency and a signature. Unless I see these two things, I am never certain. Many companies make glass similar to Murano. I am not sure that Chalet is always signed, but I shy away if I don't know things for sure. I have a couple of shelves of mistake buys.
There are some Murano pieces with frilly edges. Plain or rolled rims tend to be most popular, however. Hope this helps some.