Final answer:
Italy is the country with the Ligurian Sea between its southeastern coast and Corsica, located in the Mediterranean region with a typical Mediterranean climate.
Step-by-step explanation:
The country that has the Ligurian Sea lying between its southeastern coast and the island of Corsica is Italy. The Ligurian Sea is a part of the Mediterranean Sea and is located to the north of Corsica. Italy, with its unique boot-like shape, is a Southern European country, sharing maritime borders with this sea.
In addition to the Ligurian Sea, Italy also includes the islands of Sicily and Sardinia, adding to its extensive coastline along the Mediterranean. The region around the Ligurian Sea is known for its mild, wet winters and hot, dry summers, characteristic of the Mediterranean climate.