Order of trading companies from Europe in India:

1. Portuguese:
- The Portuguese were the first Europeans to establish a sea route to India in the late 15th century.
- They reached India in 1498 under the leadership of Vasco da Gama and established trading posts along the coast.

2. Dutch:
- The Dutch East India Company, established in 1602, began trading in India in the early 17th century.
- They established trading posts and factories in various parts of India, particularly in Surat, Coromandel, and Bengal.

3. English:
- The English East India Company, established in 1600, started trading in India in the early 17th century.
- They initially focused on establishing trading posts in Surat and later expanded their presence to other parts of India.

4. French:
- The French East India Company, established in 1664, began trading in India in the late 17th century.
- They established trading outposts in places like Pondicherry, Chandernagore, and Mahe and competed with the British for control over trade in India.

5. Danish:
- The Danish East India Company, established in 1616, began trading in India in the early 17th century.
- They established trading posts in places like Tranquebar and Serampore but eventually sold their Indian possessions to the British in the early 19th century.
Each of these trading companies played a significant role in shaping the history of trade in India and establishing European influence in the region.