| Species | Recipient region | Date of the first record | |
|---|
| Molgula manhattensis | France / Celtic seas | 1849 |  |
| Molgula manhattensis | Ireland | 1998 |  |
| Molgula manhattensis | Netherlands | To 1762 |  |
| Molgula manhattensis | Norway / Barents Sea | To 1997 |  |
| Molgula manhattensis | Norway / Norwegian Sea | To 1997 |  |
| Molgula manhattensis | Norway / North Sea | To 1997 |  |
| Molgula manhattensis | France / English Channel | 1840 - 1849 |  |
| Molgula manhattensis | Germany / North Sea | To 2009 |  |
| Molgula manhattensis | Denmark / North Sea | 1983 |  |
| Molgula manhattensis | Sweden / North Sea | 2002 |  |
| Molgula manhattensis | Denmark / Baltic Sea | 1973 |  |
| Molgula manhattensis | Portugal / Iberian Coastal | 2002 - 2016 |  |
| Molgula manhattensis | France / Western Mediterranean | 1969 |  |
| Molgula manhattensis | United Kingdom (Britain) / North Sea / Orkney Islands | 1995 |  |
| Molgula manhattensis | Belgium | To 2018 |  |
| Molgula manhattensis | Iceland | 2018 |  |
| Molgula manhattensis | Australia / Bass strait | 1967 |  |
| Molgula manhattensis | Romania | 1971 |  |