Given your experience and educational background, companies like Infosys, Wipro and hundreds of other IT companies in Bangalore/Hyderabad would be easy to get into. Moreover, since you're a US citizen, you may not face problems in getting a work visa in Europe. And most of these big IT services companies send engineers on long-term assignments to US, Europe. Having said that, if Europe is your priority, get it in black-and-white at the time of joining.
As an aside, if I were you, I would love to have some India experience under my belt--from a long term career growth perspective. Sooner or later, you will end up partnering with Bangalore folks for your IT projects. Many US companies are realizing that and getting mid/senior management to spend time in India (for software operations) and China (for hardware/manufacturing operations) to know the culture, processes, etc.
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Given your experience and educational background, companies like Infosys, Wipro and hundreds of other IT companies in Bangalore/Hyderabad would be easy to get into. Moreover, since you're a US citizen, you may not face problems in getting a work visa in Europe. And most of these big IT services companies send engineers on long-term assignments to US, Europe. Having said that, if Europe is your priority, get it in black-and-white at the time of joining.
As an aside, if I were you, I would love to have some India experience under my belt--from a long term career growth perspective. Sooner or later, you will end up partnering with Bangalore folks for your IT projects. Many US companies are realizing that and getting mid/senior management to spend time in India (for software operations) and China (for hardware/manufacturing operations) to know the culture, processes, etc.