Here is a brief picture and description of Charlotte's quilling inside a glass ornament
Glass globes online including prices at save on crafts
These glass globes also look lovely and could be used for this glass tealight globe
You can also get domes with or without a base for special pieces. I couldn't find any reasonably priced places in Australia but I did find this one in the states
Collecting Warehouse
Here is one done with a brief description that the snowflake is painstakingly assembled, piece by piece, inside its own glass ornament glass ornament snowflake
There is also some information on Wikipedia about the impossible bottle which contains all sorts of different items and how they do it.
Many people buy those ornamental moulds that come in 2 halves as seen in Jody's tutorial in the tutorial category. You can get them from places like spotlight and it is one way to have your quilling inside one of these display balls (or the like) though you would have a seam. These are very economical
Hope that helps
Karon
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Life is not measured by the breaths we take but by the moments that take our breath away. George Carlin